PASS
AN ALTERNATIVE EDUCATIONAL
PROGRAM
FOR HIGH SCHOOL
STUDENTS
DEVELOPED WITH
TITLE I MIGRANT FUNDS
Administered by:
The Wisconsin Department of Public Instruction
Anthony Evers
State Superintendent
Directed by:
Dr. Myrna Toney
Special Needs Section Administration
125 South Webster Street
Madison, WI 53707
(608) 266-2690
Implemented by:
Mr. Glenn Bowers
Wisconsin PASS Coordinator
Cooperative Educational Service Agency 8
Dr. Donald J. Viegut, Administrator
223 West Park Street
Gillett, WI 54124
(920) 855-2114
www.cesa8.12.wi.us or www.wipass.org
January 2013
TABLE OF CONTENTS
Introduction ............................................................................... 1
PASS Course Descriptions ....................................................... 3
Study Skills ...................................................................... 4
Learning English through Literature ................................. 5
English IA ........................................................................ 7
English IB ........................................................................ 8
English IIA ....................................................................... 9
English IIB ..................................................................... 11
English IIIA .................................................................... 12
English IIIB .................................................................... 13
English IVA .................................................................... 14
English IVB .................................................................... 15
Themes in Literature A................................................... 16
Themes in Literature B................................................... 18
General Science A ......................................................... 19
General Science B ......................................................... 21
Environmental Science A ............................................... 22
Environmental Science B ............................................... 23
Biology A ....................................................................... 24
Biology B ....................................................................... 27
U.S. History A ................................................................ 30
U.S. History B ................................................................ 32
World History A .............................................................. 34
World History B .............................................................. 36
United State Government .............................................. 38
World Geography A ....................................................... 39
World Geography B ....................................................... 40
Ethnic Studies ................................................................ 41
Consumer Education ..................................................... 42
Economics ..................................................................... 43
Consumer Math ............................................................. 45
Personal Finance ........................................................... 46
General Math A.............................................................. 51
General Math B.............................................................. 53
Pre Algebra and Calculator Math ................................... 55
Algebra IA ...................................................................... 57
Algebra IB ...................................................................... 60
Algebra IIA ..................................................................... 63
Algebra IIB ..................................................................... 71
Geometry A ................................................................... 80
Geometry B ................................................................... 83
Integrating Math Concepts ............................................. 86
Color and Design ........................................................... 89
Your Health .................................................................... 90
Creative Writing ............................................................. 93
Career Connections .................................................... 95A
PASS Courses Requiring Supplemental Books ...................... 96
PASS Order Forms ............................................................... 100
Portable Assisted Study Sequence
WISCONSIN PASS / MINI PASS PROGRAM
“PASS”
Portable Assisted Study Sequence
PASS courses were introduced in 1978 when California produced semiindependent courses for migrant students in grades 9-12. In 1997 the National PASS
Center was formed to develop second-generation courses that would meet local school
district requirements and align with performance standards of various states. Thus PASS
courses are correlated with states that send migrant students (California. Florida and
Texas) to states throughout the country. States receiving migrant students that have
performance standards matched with PASS are Wisconsin, Nebraska, Arkansas and
Michigan.
The new PASS courses were developed to help students earn credits and graduate
from high school with academic diplomas from their local high schools. In other situations,
PASS may be used to remediate students in basic subjects. PASS courses should be taught
and supervised by certified teachers and administrators.
PASS Introduction
PASS courses are designed to help students improve in attitude, knowledge, and skills.
These improvements are developed through:
individualized assessment and teaching
participation and creative activity
appreciating and developing a student's unique potential
recognition of views that build strength and diversity
utilization of current media and materials
assessments in terms of course objectives and state performance standards
PASS was founded on the principles of appropriateness, flexibility and credibility. The
program is appropriate because it may be used with high school students through semiindependent study courses. Courses will enable students to:
earn full or partial credit
make up deficiencies for promotion or graduation
pursue remediation or enrichment of disciplines
study at their own pace
enroll in courses not available on their high school schedules
develop responsibility in completing objectives through semi-independent study
Flexibility in administering PASS enhances instructional opportunities for students in a variety of
settings. PASS may be used to:
serve one student, several pupils or a class under teacher supervision
provide instruction to students in their homes, other public locations or in normal
school settings
offer courses during the summer, evenings, or regular school year
support all or portions of local courses in accordance with local control
Credibility of PASS has increased with the National PASS Center producing courses that meet
performance standards of numerous states. The program's worth is demonstrated through:
updated courses that support local school curriculum and meets individual needs
immediate and accurate assessment through tests administered by local school officials
accurate record keeping allowing for course interruptions and continuation of classes for
students under special circumstances
local educators ensuring that the integrity of PASS is comparable to local standards
PASS has been defined as a semi-independent instructional program that will supplement the regular
secondary school curriculum. Within this definition the program in Wisconsin has always required certified
teachers to instruct students with a minimum contact time of four to six hours each week with migrant
students. Contact hours for students in regular or alternative school settings enrolled in PASS should have six
or more contact hours per week depending upon the number of courses assigned each semester.
PASS in 2004 maintains key concepts from first generation courses in addition to improved courses
developed through the National PASS Center in Geneseo, New York. An overview of PASS today includes:
self-contained courses one semester in length or 90 Carnegie hours that parallel regular
high school classes
courses which may be used as independent, semi-independent, or in regular classroom
settings
courses structured with five units per course with each unit having from five to seventeen
lessons or activities
tests for each unit in certain courses whereas the new series could have as many as three
exams per unit
a contract between student, teacher, and parent to ensure that all parties understand
expectations and requirements for credit or partial completion of courses
courses that meet all or most of the requirements set forth by state standards or local school
districts
reading levels that require students to have basic reading and writing skills in English
Student progress through PASS requires updated curricula and instructional excellence by
local school officials or site coordinators. Through the continued upgrading of curriculum by the
N.P.C. and improved instruction from local educators, PASS will continue to serve students who need
an alternative program to earn the necessary credits for high school graduation.
PASS
COURSE
DESCRIPTIONS
PASS - STUDY SKILLS
NPC – 2009
SEQUENCE OF SKILLS
UNIT 1 – Learning Styles
1. Physical learning styles
2. Intrinsic learning styles
3. Emotional learning styles
UNIT 2 – Fundamentals
1.
2.
3.
4.
5.
6.
7.
Critical thinking
Speaking
Listening
Spelling rules
Mechanics
Analyzing text
Letter writing
UNIT 3 – Methods of Study
1. Ways to study
2. Outlining and note taking
3. Diagnosing fiction
4. Sequencing: cause and effect
5. Visual aids
6. Parts of a book
7. The internet
UNIT 4 – Words, Words, Words
1.
2.
3.
4.
5.
6.
7.
Antonyms, synonyms, homonyms, context clues
Entomology
The versatile English language
Emotional language
Problem solving
The main idea
Summarizing
UNIT 5 – Test Strategies and Research Techniques
1.
2.
3.
4.
5.
6.
7.
Reading directions
Objective test strategies
Essays – literary and personal
The interview
Researching
Writing the research paper
Editing and proofreading
PASS – LEARNING ENGLISH
THROUGH LITERATURE
NPC – 2009
SCOPE OF COURSE
Learning English Through Literature develops and strengthens reading, writing, listening,
speaking, viewing, and producing skills, through the study of the newspaper, poetry, story
genre, and the novel. A unit on basic language and grammar skills is also included. The
course is geared toward the intermediate English language learner, who has some basic
English skills.
SEQUENCE OF SKILLS
UNIT 1 – Basic Skills
1.
2.
3.
4.
5.
6.
7.
8.
9.
Alphabetizing/using guide words
Parts of speech/forms of a word
Choosing the right meaning of a word
Pronunciation
Prefixes
Suffixes
Root words
Reading strategies: survey, question, read, recite
Writing strategies/the writing process
UNIT 2 – The Newspaper
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
Introduction: staff, parts, vocabulary
The news article: 5W + H questions
The human interest story: cause and effect
The business article: making predictions
Graphics: reading and understanding visual clues, charts and graphs
Letters to the editor: fact vs. opinion
The political cartoon: analysis and understanding point of view
Sports Section: understanding text and charts
The Movie Review: making judgments/demonstrating literary elements
The advice column: making inferences/expressing opinions
Classified Advertisements: asking questions for information/writing descriptions
Comics and puzzles: sequencing through reading and writing activities
Writing a news article
Grammar: verb forms
Extension activities: newspaper and internet use
Learning English Through Literature
Scope and Sequence
UNIT 3 – Poetry
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
Reading poems for understanding, enjoyment, and personal response
Increasing vocabulary
The lives of selected poets
Literary Elements of Poetry
Compare and contrast: two poems
A poem’s point of view
Writing an organized essay
Writing original poems
Using correct English conventions: grammar, spelling, punctuation
Grammar: adjectives and adverbs
UNIT 4 – Story Genre
1.
2.
3.
4.
5.
6.
7.
Reading and understanding: fables, myths, Native American stories,
African-American stories, tall tales, and folk tales from various cultures
Vocabulary of genre and stories
Literary terms: identification and usage
Writing original fables and myths
Writing a compare/contrast essay
Retelling a folk tale from one’s culture
Grammar: pronouns, articles, prepositions, conjunctions, interjections
UNIT 5 – The Novel
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
Reading for understanding, enjoyment, and personal response
Understanding literary elements used in novels
Reading maps and understanding cultural contexts
Comparing/contrasting two characters
Making predictions and inferences
Observing and understanding sequence of an on-going event
Reading aloud with expression, correct pronunciation, and voice
Using correct English conventions: grammar, spelling, and pronunciation
Increasing vocabulary
Grammar: punctuation and spelling rules
PASS – ENGLISH IA
Second Edition – NPC – 2010
SCOPE OF COURSE
English IA develops and strengthens reading, writing, listening, speaking, viewing and producing skills
through the study of myths and folk tales, a drama, a novel, poetry, and non-fiction.
SEQUENCE OF SKILLS
UNIT 1 – Myths. Tales. and Legends
1.
Prepare journal entries
2.
Increase vocabulary
3.
Examine myths, tales and legends from various cultures
4.
Write a myth
5.
Write a literary essay, brainstorming, drafting, revising and rewriting
6.
Identify literary themes
7.
Identify and use correctly nouns, pronouns, verbs, and adjectives
UNIT 2 – The Diary of Anne Frank
1.
Prepare journal entries
2.
Increase vocabulary
3.
Read and analyze the drama The Diary of Anne Frank
4.
Understand the historical background for the drama
5.
Read and understand related poetry
6.
Write a literary essay, brainstorming, drafting, revising and rewriting
7.
Identify and use correctly adverbs, prepositions, conjunctions, and interjections
UNIT 3 – The Old Man and the Sea
1.
Prepare journal entries
2.
Increase vocabulary
3.
Read and analyze The Old Man and the Sea
4.
Write a script for a television story
5.
Write a literary essay, brainstorming, drafting, revising and rewriting
6.
Interpret the novel through drawing activities
7.
Identify phrases and clauses and understand the structure of a sentence
UNIT 4 – Poetry
1.
Prepare journal entries
2.
Read and analyze poetry
3.
Identify literary terms associated with poetry
4.
Write poetry
5.
Write a literary essay on a poem
6.
Identify types of sentences and correct sentence fragments and run-on sentences
UNIT 5 – Non-Fiction
1.
Prepare journal entries
2.
Increase vocabulary
3.
Read and analyze non-fiction material
4.
Write a job application and personal letter
5.
Conduct interviews and develop a character sketch from them
6.
Use correct punctuation and capitalization
PASS – ENGLISH IB
Second Edition – NPC – 2010
SCOPE OF COURSE
English IB develops and strengthens reading, writing, listening, speaking, viewing and producing skills
through the study of short stories, a drama, a novel, poetry, and non-fiction.
SEQUENCE OF SKILLS
UNIT 1 – Short Stories
1.
2.
3.
4.
5.
6.
7.
Prepare journal entries
Increase vocabulary
Understand literary terms
Read and analyze short stories
Analyze a drawing, a commercial and a news story
Write a literary essay, brainstorming, drafting, revising and rewriting
Identify and use correctly nouns, pronouns, verbs, and adjectives
UNIT 2 – A Raisin in the Sun
1.
2.
3.
4.
5.
6.
7.
8.
9.
Prepare journal entries
Increase vocabulary
Understand literary terms
Read and analyze the drama A Raisin in the Sun
Understand its background
Read parts of the play aloud with another "actor"
Complete graphic activities
Write a literary essay, brainstorming, drafting, revising and rewriting
Identify and use correctly adverbs, prepositions, conjunctions, and interjections
UNIT 3 – The House on Mango Street
1.
2.
3.
4.
5
6.
Prepare journal entries
Increase vocabulary
Read and analyze The House on Mango Street
Write a literary essay, brainstorming, drafting, revising and rewriting
Complete graphic activities
Identify phrases and clauses and understand the structure of a sentence
UNIT 4 – Poetry
1.
2.
3.
4.
5.
6.
Prepare journal entries
Read and analyze poetry
Compare one poem with another
Understand literary terms
Write poetry
Identify types of sentences and correct sentence fragments and run-on sentences
UNIT 5 – Non-Fiction
1.
2.
3.
4.
5.
6.
7.
8.
Prepare journal entries
Increase vocabulary
Read and analyze non-fiction
Write a memo
Compare a review of a performance with personal experience
Recognize genres such as nightly news, newsmagazines and documentaries
Write a literary essay, brainstorming, drafting, revising and rewriting
Practice use of correct punctuation and capitalization
PASS – ENGLISH IIA
Second Edition – NPC – 2011
SCOPE OF COURSE
English IIA develops and strengthens reading, writing, listening, speaking, viewing and
producing skills through the study of short stories, a drama, a novel, poetry, and the newspaper.
SEQUENCE OF SKILLS
UNIT 1 – Short Stories
1.
2.
3.
4.
5.
6.
7.
Prepare journal entries
Increase vocabulary
Read and analyze short stories from various cultures
Understand literary terms
Complete graphic activities
Write a literary essay, brainstorming, drafting, revising and rewriting
Identify and use correctly nouns, pronouns, verbs, and adjectives
UNIT 2 – The Miracle Worker
1.
2.
3.
4.
5.
6.
Prepare journal entries
Increase vocabulary
Read and analyze biographies
Read and analyze The Miracle Worker
Write an autobiography
Identify and use correctly adverbs, prepositions, conjunctions, and interjections
UNIT 3 – The Pearl
1.
2.
3.
4.
5.
6.
7.
Prepare journal entries
Increase vocabulary
Read and analyze The Pearl
Understand historical background for The Pearl
Write a script for a television story
Write a literary essay, brainstorming, drafting, revising and rewriting
Identify phrases and clauses and understand the structure of a sentence
English IIA
Scope and Sequence
UNIT 4 – Poetry
1
2
3
4
5
6
Prepare journal entries
Understand literary terms
Read and analyze poetry
Read poetry to another person
Write poetry
Identify types of sentences and correct sentence fragments and
run-on sentences
UNIT 5 – The Newspaper
1
2
3
4
5
6
7
8
9
Prepare journal entries
Identify characteristics of newspaper sections
Learn about careers in the newspaper industry
Read and analyze various newspaper stories
Interpret graphs, maps, statistical tables
Write various types of newspaper articles
Write a letter to the editor
Draw a comic strip
Use correct punctuation and capitalization
PASS – ENGLISH IIB
Second Edition – NPC – 2011
SCOPE OF COURSE
English IIB develops and strengthens reading, writing, listening, speaking, viewing and producing skills through the
study of short stories, a drama, a novel, poetry, and essays.
SEQUENCE OF SKILLS
UNIT 1 – Short Stories
1.
2.
3.
4.
5.
6.
7.
8.
Prepare journal entries
Increase vocabulary
Read and analyze short stories
Conduct a survey
Write a script for a television story
Analyze a commercial
Write a literary essay, brainstorming, drafting, revising and rewriting
Identify and use correctly nouns, pronouns, verbs, and adjectives
UNIT 2 – Antigone
1.
2.
3.
4.
5.
6.
7.
8.
Prepare journal entries
Increase vocabulary
Explore Greek myths
Explore beliefs of other cultures
Read, analyze and illustrate Antigone
Analyze a drawing and commercials
Write a literary essay, brainstorming, drafting, revising and rewriting
Identify and use correctly adverbs, prepositions, conjunctions, and interjections
UNIT 3 – The Good Earth
1.
2.
3.
4.
5.
6.
7.
8.
Prepare journal entries
Increase vocabulary
Understand historical background of The Good Earth
Read and analyze The Good Earth
Prepare character charts and plot outlines
Analyze ideas in various media
Write a literary essay, brainstorming, drafting, revising and rewriting
Identify phrases and clauses and understand the structure of a sentence
UNIT 4 – Poetry
1.
Prepare journal entries
2.
Understand literary terms
3.
Read and analyze poetry
4.
Write poetry
5.
Analyze a song
6.
Identify types of sentences and correct sentence fragments and run-on sentences
UNIT 5 – Essays
1.
2.
3.
4.
5.
6.
7.
Prepare journal entries
Increase vocabulary
Read and analyze essays
Understand characteristics of various types of essays
Compare a performance with personal experience
Write various types of essays
Use correct punctuation and capitalization
PASS – ENGLISH IIIA
Second Edition – NPC – 2012
SCOPE OF COURSE
English IIIA develops and strengthens reading, writing, listening, speaking, viewing and producing skills through the study of
short stories, a drama, a novel, poetry and nonfiction.
SEQUENCE OF SKILLS
UNIT 1 – Short Stories
1.
2.
3.
4.
5.
6.
7.
8.
Prepare journal entries
Increase vocabulary
Understand literary terms
Read, analyze, compare and contrast short stories
Read, analyze, compare and contrast a current news story presented in two different media
Conduct an Internet or hard copy search for information to answer questions about an
author and setting
Complete an outline for each story
Identify and use correctly the parts of speech
UNIT 2 – Our Town
1.
2.
3.
4.
5.
6.
7.
8.
Prepare journal entries
Increase vocabulary
Understand the background and literary terms for the drama
Locate props and furniture on stage diagrams
Make predictions about what will happen in the play
Conduct interviews for an oral history and write a biography based on notes
Evaluate a performance of a literary work
Identify phrases and clauses and understand the structure of a sentence
UNIT 3 – To Kill a Mockingbird
1.
2.
3.
4.
5.
6.
7.
Prepare journal entries
Increase vocabulary
Read and analyze To Kill a Mockingbird
Analyze a news story's presentation in different media
Deliver a speech defending one of the story's characters
Write a variety of newspaper articles and accounts of an experience using various viewpoints
ldentify types of sentences and correct sentence fragments and run-on sentences
UNIT 4 – Poetry
1.
2.
3.
4.
5.
6.
7.
8.
Prepare journal entries
Discuss poetry as a literary genre
Understand literary terms associated with poetry and identify their applications in selected poems
Learn about literary periods for poetry in the United States
Create personal and visual responses to poems
Present poems orally
Write poems on a number of topics
Practice use of correct punctuation and capitalization
UNIT 5 – Nonfiction
1.
2.
3.
4.
5.
6.
7.
Write journal entries in response to prompts
Increase vocabulary
Learn about historical background for selected nonfiction works
Understand aspects of various media
Relate happenings of nonfiction pieces to your own life
Deliver a brief presentation
Practice correct usage of modifiers, adverb clauses, pronoun references and comparisons
PASS – ENGLISH IIIB
Second Edition – NPC – 2012
SCOPE OF SEQUENCE
English IIIB develops and strengthens reading, writing, listening, speaking, viewing and producing skills
through the study of short stories, a drama, a novel, poetry, and non-fiction.
SEQUENCE OF SKILLS
UNIT 1 – Short Stories
1.
2.
3.
4.
5.
6.
7.
8.
9.
Prepare journal entries
Increase vocabulary
Understand literary terms
Read and analyze short stories
Identify and explain examples of types of conflict
Create personal and visual responses to a story
Analyze content and purposes of media forms and messages
Write a literary essay, brainstorming, drafting, revisions and rewriting
Identify and use correctly nouns, pronouns, verbs, and adjectives
UNIT 2 – Death of a Salesman
1.
2.
3.
4.
5.
6.
7.
Prepare journal entries
Increase vocabulary
Understand literary terms
Read, analyze and understand the cultural background for Death of a Salesman
Prepare and deliver a sales speech
Write a literary essay, brainstorming, drafting, revising and rewriting
Identify and use correctly adverbs, prepositions, conjunctions, and interjections
UNIT 3 – The Adventures of Huckleberry Finn
2.
3.
Prepare journal entries
Increase vocabulary
Understand literary terms
6.
7.
8.
Present oral report
Use maps to follow the story and develop visual responses to the story
Identify phrases and clauses and understand the structure of a sentence
1.
4.
5.
Read and analyze The Adventures of Huckleberry Finn
Write and compile various types of newspaper articles and advertisements
UNIT 4 – Poetry
1.
2.
3.
4.
5.
6.
7.
Prepare journal entries
Increase vocabulary
Understand and identify literary terms
Read, analyze, discuss and write poetry
Create personal and visual responses to poetry
Assemble a portfolio of poems
Identify types of sentences and correct sentence fragments and run-on sentences
UNIT 5 – Nonfiction
1.
2.
3.
4.
5.
6.
7.
Prepare journal entries
Increase vocabulary
Read and analyze nonfiction
Develop visual responses to literary works
Obtain information on colleges from the Internet or library
Write a personal essay for a job or college application, brainstorming, drafting, revising and rewriting
Use correct punctuation and capitalization
PASS – ENGLISH IVA
NPC – 1999
SCOPE OF COURSE
English IVA develops and strengthens reading, writing, listening, speaking, viewing and producing skills through
the study of short stories, a drama, a novel, and units on continuing your education/finding a job and preparing a
research paper.
SEQUENCE OF SKILLS
UNIT 1 – Short Stories
1.
2.
3.
4.
5.
6.
Prepare journal entries
Increase vocabulary
Understand literary terms
Read and analyze British short stories and a fairy tale
Write a creative essay, brainstorming, drafting, revising and rewriting
Identify and use correctly the parts of speech
UNIT 2 – Macbeth
1.
2.
3.
4.
5.
6.
Prepare journal entries
Increase vocabulary
Understand the background and literary terms for the drama
Read, analyze and prepare drawings for Macbeth
Write a literary essay, brainstorming, drafting, revising and rewriting
Identify phrases and clauses and understand the structure of a sentence
UNIT 3 – Animal Farm
1.
2.
3.
4.
5.
6.
7.
Prepare journal entries
Increase vocabulary
Read and analyze fables and Animal Farm
Cast a movie
Complete graphic activities
Write a literary essay, brainstorming, drafting, revising and rewriting
Identify types of sentences and correct sentence fragments and run-on sentences
UNIT 4 – Continuing Your Education/Finding a Job
1.
2.
3.
4.
5.
6.
7.
8.
9.
Prepare journal entries
Complete a college application
Write an essay for college admission
Learn sources of financial aid
Learn steps to finding a job
Prepare a personal fact sheet and resume’
Complete a job application
Prepare for a job interview
Practice use of correct punctuation and capitalization
UNIT 5 – The Research Paper
1.
2.
3.
4.
5.
6.
7.
Choose a research paper topic
Conduct research from various sources, preparing data cards
Develop thesis statement
Prepare outline and rough draft
Prepare "works cited" listing
Revise, edit and write final draft of research paper
Practice correct usage of modifiers, adverb clauses, pronoun references and comparisons
PASS – ENGLISH IVB
NPC – 1999
SCOPE OF COURSE
English IVB develops and strengthens reading, writing, listening, speaking, viewing and producing skills
through the study of short stories, a drama, a novel, poetry, and non-fiction.
SEQUENCE OF SKILLS
UNIT 1 – SHORT STORIES
1.
2.
3.
4.
5.
6.
7.
8.
9.
Prepare journal entries
Increase vocabulary
Understand literary terms
Read and analyze short stories
Write a friendly and a business letter
Analyze a commercial
Write newspaper and radio articles
Write a literary essay, brainstorming, drafting, revising and rewriting
Identify and use correctly nouns, pronouns, verbs, and adjectives
UNIT 2 – PYGMALION
1.
2.
3.
4.
5.
6.
7.
8.
9.
Prepare journal entries
Increase vocabulary
Understand literary terms
Read, analyze and understand the cultural background for Pygmalion
Prepare concept maps and complete graphic activities
Conduct a survey
Compare a review of a performance with personal experience
Write a literary essay, brainstorming, drafting, revising and rewriting
Identify and use correctly adverbs, prepositions, conjunctions, and interjections
UNIT 3 – LORD OF THE FLIES
1.
2.
3.
4.
5.
6.
7.
8.
Prepare journal entries
Increase vocabulary
Understand literary terms
Read and analyze Lord of the Flies
Analyze a drawing
Present oral report
Write a literary essay, brainstorming, drafting, revising and rewriting
Identify phrases and clauses and understand the structure of a sentence
UNIT 4 – POETRY
1.
2.
3.
4.
5.
6.
7.
Prepare journal entries
Increase vocabulary
Understand literary terms
Read and analyze poetry
Analyze ideas presented in the media
Write poetry
Identify types of sentences and correct sentence fragments and run-on sentences
UNIT 5 – NON – FICTION
1.
2.
3.
4.
5.
6.
7.
Prepare journal entries
Increase vocabulary
Read and analyze non-fiction
Consider various news genres
Explore resources on the Internet
Write a literary essay, brainstorming, drafting, revising and rewriting
Use correct punctuation and capitalization
PASS – THEMES IN LITERATURE A
Units 1 and 2 Revised – 2005
SCOPE OF COURSE
This third and/or fourth year course in English covers advanced grammar and composition that
is presented through selected American and British literary pieces as well as famous letters in
history.
SEQUENCE OF SKILLS
UNIT I – How to Write Letters
1.
2.
3.
Basic rules of successful letter writing
Parts of a letter
Business letter
UNIT II – Letters in History
1.
2
3.
4
5.
6
7
Letters from Mesopotamia
Letter of Thomas Jefferson, to his daughter Patsy
Letter of Dolly Madison, Fleeing the Executive Mansion
Letter to John Brown’s widow
Letter from Susan B. Anthony
A letter to President Ulysses S. Grant
The Lynching of Samuel Petty by an anonymous witness
UNIT III – Fantasy and the Unexplained
1.
2.
3.
4.
5.
“The Magic Shop” by H.G. Wells
“The Crowd” by Ray Bradbury
“Rip Van Winkle” by Washington Irving
“The Secret Life of Walter Mitty” by James Thurber
“The Monkey’s Paw by W.W. Jacobs
UNIT IV – Experiences with War and Peace
1.
2.
3.
4.
5.
6.
7.
8.
"Johnny Got His Gun" by Dalton Trumbo
"Soldiers Home" by Ernest Hemingway
"Mother Savage" by Guy deMaupassant
"Grass" by Carl Sandburg
"The Soldier" by Rupert Broke
"The Man He Killed" by Thomas Hardy
"Soldier What Did You See"? by Don Blanding
"The Change of the Light Brigade" by Alfred Lord Tennyson
Themes in Literature A
Scope and Sequence
UNIT V – A Time For Courage
1.
2.
3.
4.
5.
“Chang and Eng: The Original Siamese Twins”
“The Man Without a Country” by Edward Everett Hale
“Miniver Cheevy” by Edwin Arlington Robinson
“Invictus” by Williams Ernest Henley
“Adventures of Isabel” by Ogden Nash
PASS – THEMES IN LITERATURE B
Developed 1989
SCOPE OF COURSE
This third and / or fourth year course in English is designed to develop skills in understanding
contemporary and world literature as well as in critical and creative writing.
SEQUENCE OF COURSE
UNIT VI – Building an Effective Vocabulary - Part I
1.
2.
3.
4.
Using the dictionary
Our language, past and present
Tracing word origins
How to build on effective vocabulary
UNIT VII – Building an Effective Vocabulary - Part II
1.
2.
Words borrowed from other languages
Words derived from names
UNIT VIII – New Americans and the Immigration Experience - Part I
1.
2.
3.
4.
5.
The Immigrant Experience
"Why They Came" excerpt from A Nation of Immigrants by John F. Kennedy
"An Irish Integrity" by William Alfred
"Italian in Hell's Kitchen" by Mario Puzo
"A Bintel Brief" (letters)
UNIT IX – New Americans and the Immigration Experience - Part II
1.
2.
3.
4.
Music writing: "The Golden Cage"
Novel: "Farewell to Manzanar" by J.W. Houston
Poetry: "We Wear the Mask" by Paul Lawrence
Poetry: "The New Colosus" by Emma Lazarus
UNIT X – The Individual and Society
1.
2.
3.
4.
"The Light in the Forest'' by Conrad Richter
“Removal from Grandmother’s” excerpts from the Life and Times of Frederick Douglas
“Man’s Search for Meaning” by Victor E. Frankl
“Barrio Boy” by Ernest Galarza
PASS – GENERAL SCIENCE A
Original
SCOPE OF COURSE
This introduction of general science covers physical and life sciences and the steps involved in
scientific methods and classifications.
SEQUENCES OF SKILLS
UNIT I – Methods of Investigation and Classification
1.
2.
3.
4.
5.
6.
7.
Utilize the scientific methods of inquiry
Utilize the senses to observe and test
Explain scientific investigation
Identify and define the system of scientific classification
Relate facts regarding classification
Classify objects into groups
List career requirements
UNIT II – Physical Science
1.
2.
3.
4.
5.
6.
7.
8.
Explain, describe and give examples of matter and energy
Explain the functions of neutrons and electrons
Define and give examples of static and current electricity
Explain the function of a dry cell battery
Identify common electrical symbols
Explain the contributions of inventors
Explain what heat is, what causes it, and from where it comes
Define and explain temperature, and tell how a thermometer works
UNIT III – Physical Science
1.
2.
3.
4.
5.
6.
7.
Identify, list kinds and give example of work
Explain the functions and give examples of machines
Explain harnessing nature's energy
Identify fuel and its sources
Explain combustion
Relate the future of power, energy and food supplies
Explain a career in physics
General Science A
Scope and Sequence
UNIT IV – Plants
1.
2.
3.
4.
5.
6.
7.
Define, explain and illustrate a plant cell
Explain the importance of plants
Draw and label the parts of a flower
Explain the fertilization of a flower
Explain photosynthesis
Define plant term
Relate career facts
UNIT V – Animals
1.
2.
3.
4.
5.
Explain the importance of animals
Identify where and how animals live
Identify animal concepts and behaviors
Explain animal classifications
Relate career facts
PASS – GENERAL SCIENCE B
Original
SCOPE OF COURSE
This general science course covers the entire spectrum of natural forces and processes found on the
planet Earth.
SEQUENCE OF SKILLS
UNIT VI – Atmosphere and Weather
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
Identify the elements and properties of air
Explain gravity
Explain the difference between winds
Explain what causes wind
Draw a compass
List the elements of weather
Explain the water cycle
List and explain the kinds of clouds
Compare winds
Explain sources of weather data
UNIT VII – Space
1.
2.
3.
4.
5.
6.
7.
8.
Relate career facts
Compare telescopes
Identify constellations
List and describe the planets
Define terminology
Compare and contrast the sun and the moon
Explain seasons and eclipses
List facts about rockets, satellites and spacecrafts
UNIT VIII – Oceans
1.
Explain why the oceans are important
2.
Name and locate oceans and seas
3.
Explain ocean currents and wave action
4.
Name ocean plants and animals
5.
List tools and instruments used in oceanography
6.
Relate career facts
UNIT IX – Rocks, Minerals and Fossils
1.
Define terminology
2.
Compare and contrast rocks and mineral
3.
List ways to identify and use minerals
4.
Identify classes of rock
5.
Relate fossil facts
UNIT X – Mountains. Weathering and Erosion
1.
Explain the characteristics of mountains
2.
Define and compare weathering and erosion
PASS – ENVIRONMENTAL SCIENCE A
NPC - 2011
SCOPE OF COURSE
This course is divided into two semesters of study (A & B) comprised of five units each. The first half of the
course (A) provides a comprehensive exploration of ecosystem structures and functions, studies the various
global biomes, and the relationships between natural and human populations. Laboratory activities embedded
within each unit allow for hands-on, practical applications of various concepts and the interrelationships that
exist at different levels within the living world.
SEQUENCE OF SKILLS
UNIT 1 – Ecosystem Structure
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
Introduction to ecosystems: Structure of the biosphere
What is an ecosystem?
A detailed look at ecosystem structure
Investigate your ecosystem
Making an ecosystem: Part One – modeling land ecosystems
Making an ecosystem: Part Two – modeling aquatic ecosystems
Who’s eating whom?
Identifying ecosystem roles
The web of life
Energy – where does it go? Energy pyramids and trophic levels
The importance of biodiversity
The Exxon Valdez oil spill
Exxon Valdes ecosystem impact
UNIT 2 – Ecosystem Function
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
Sunlight and photosynthesis
Ecosystem vocabulary
Energy flow
Energy pyramids
Symbiosis
Renewable versus non-renewable resources
Natural cycles
Carbon and oxygen cycles
Water and Nitrogen cycles
Competition and succession
Succession exploration (field experiment)
“Vivo”
Career connection: exploring resources
Environmental Science A
Scope and Sequence
Unit 3 – Natural Populations
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
Review nutritional relationships
Exploration of local ecosystem populations
Ecosystem impact from food web changes
Estimating population size
Carrying capacity
Interpreting population data
Kaibab Deer graphing activity
Natural selection activity
Introduced species: issues and challenges
Invasive species project
Reintroduction programs: pros and cons
Career connection: population analyst
Natural controls of pest species
Unit 4 – Biome
1
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
Definition and description of classification of biomes
Rainforests
Temperate deciduous forest
Taiga/coniferous forest
Desert
Tundra
Grasslands
Freshwater
Wetlands
Marine
Biome adaptations
Biome project
Career connection: conservation law enforcement
Unit 5 – Human Populations
1
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
World populations: numbers, trends, and reasons for growth
Predictions on consequences of continued growth
Population comparisons: developed versus developing nations
Feeding more people
Space concerns and energy use of growing populations
Graphing population growth
Shared global resources
Feeding a growing global population
Sustaining limited resources
Factors influencing population growth
Career connection – demographer
Individual responsibility
Population policy project
PASS – ENVIRONMENTAL SCIENCE B
NPC - 2011
SCOPE OF COURSE
This course is divided into two semesters of study (A & B) comprised of five units each. The second half of the
course (B) provides a comprehensive exploration of various sources of energy, the structure and function of
the atmosphere, the water cycle and factors impacting this valuable resource, the land and its responsible
management, and the environmental movement over the years. Laboratory activities embedded within each
unit allow for hands-on practical applications of various concepts and the interrelationships that exist at
different levels within the living world.
SEQUENCE OF SKILLS
UNIT 1 – Energy
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
Fossil fuel – oil
Fossil fuel – coal and natural gas
To drill or not to drill?
Solar energy
Solar energy storage
Wind power
Hydroelectric power
Nuclear power
Chain reaction demonstration
Geothermal and tidal power
Biomass
Energy use at home
Hydrogen
UNIT 2 – Atmosphere
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
The atmosphere
Air pressure
What is air pollution?
Global warming
Greenhouse effect demonstration
Acid rain
Effects of acid rain
Ground level ozone
The ozone layer – stratospheric ozone
Environmental issues – global or local?
How clean is the air around you?
Noise pollution
Air pollution control
Environmental Science B
Scope and Sequence
Unit 3 – Water
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
Water pollution
Plant nutrients
Sediment pollution
Groundwater pollution
Groundwater pollution activity
Aquifer in a cup
Toxic waste
Municipal solid waste (MSW)
Thermal Pollution
Water treatment filtration activity
Water treatment facilities
Sewage treatment
Water conservation activity
Unit 4 – Land
1
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
Overview of environmental hazards/focus on land
Municipal solid waste
Reducing solid waste/municipal solid waste activity
Hazardous chemicals – focus on pesticides
Activity – how do pesticides affect an ecosystem?
Biomagnification and the pesticide treadmill
Alternate pest control – natural methods
Love canal history
Love canal testimony
Dioxin – food and drug administration/interagency report
Public awareness and superfund
EPA and national priority listings
Environmental responsibility in your area/NPL
Unit 5 – Past, Present and Future
1
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
History of the environmental movement
The value of biodiversity
Diversity in your own backyard
Urban sprawl
Invasive non-native species
Habitat restoration – you and your community
Rachel Carson – someone who made a difference
Costs and benefits of environmental protection
Major federal environmental laws
A scientific debate
Environmental careers
Job shadowing
Ask the question
BIOLOGY A
Third Edition – NPC - 2012
SCOPE OF COURSE
This course is divided into two semesters of study (A & B) comprised of five units each. The first half
of the course (A) provides a comprehensive exploration of the definition of life, the scientific method,
cell structure, the chemical processes for energy production, life at the cellular and multicellular
levels, and the various body systems that work together to sustain life. Laboratory activities
embedded within each unit allow for hands-on, practical applications of various concepts and the
interrelationships that exist at different levels within the living world.
SEQUENCE OF SKILLS
UNIT 1 – The Science Called Biology
1.
2.
3.
4.
5.
6.
7.
8.
Introduction to Biology
Problem solving: The Scientific Method
Laboratories:
 Investigating the scientific method
 Investigating measurement
 Investigating changes in a biological material
 Investigating the compound light microscope
Making, organizing, and analyzing observations
Line graphs
Bar graphs
Circle graphs / pie charts
Interview
UNIT 2 –The Characteristics of Life
1.
2.
3.
4.
5.
6.
7.
The definition of life
Using life’s characteristics to define it
Organizing the characteristics of life
The scientific definition of life
Properties of life
Life Activities:
 Nutrition
 Respiration
 Synthesis, growth, reproduction
 Transport
 Laboratory activity: investigating the transport of water in a living organism
 Excretion
 Regulation
Are viruses alive?
Biology A
Scope and Sequence
UNIT 3 – The Chemistry of Life
1.
2.
3.
The chemical nature of life
What are living things made of?
The making of chemical compounds:
• Ionic bonding
• Covalent bonding
4. A study of pH
5. An example of the importance of pH to the living world
6. Acid rain
7. The organic compounds of life
8. Testing for the compounds of life
9. Enzymes
10. Investigating enzyme activity
11. The bag of chemicals
UNIT 4 – The Cell
1.
2.
3.
4.
Cells: The basic unit of life
Our city’s outer wall—the cell membrane
Moving around the city—osmosis and diffusion
Laboratories:
• Lab #1: Osmosis/diffusion
• Lab #2: Looking at cells
• Lab #3: Modeling mitosis (cell division)
5. How cells make energy:
• Step 1: Glycolysis
• Step 2: The mitocondrion
6. Using ATP—the making and breaking of the city’s energy chips
7. The city’s factory and packaging plant—the endoplasmic reticulum and Golgi apparatus
8. The city’s government building and control center—the nucleus
9. The reason why our city is small
10. The many different jobs of cells
Biology A
Scope and Sequence
UNIT 5 – Life at the Cellular and Multicellular Levels
1.
2.
3.
4.
5.
6.
7.
Introduction
Nutrition
Transport
Blood
Respiration
Excretion
Regulation
• Nervous system
• Endocrine system
8. Locomotion
• Skeletal system
• Muscular system
9. Integumentary system
10. Human anatomy
PASS – BIOLOGY B
Third Edition – NPC 2012
SCOPE OF COURSE
This course is divided into two semesters of study (A & B) comprised of five units each. The second
half of the course (B) provides a comprehensive exploration of reproduction, genetics, classification of
various organisms, evolution, and ecology. Laboratory activities embedded within each unit allow for
hands-on, practical applications of various concepts and the interrelationships that exist at different
levels within the living world.
SEQUENCE OF SKILLS
UNIT 1 – Reproduction
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
Introduction
Asexual vs. sexual reproduction
Asexual reproduction
Sexual reproduction in plants
Investigating a typical flower
Plant growth and development
Investigating seed and plant development
Sexual reproduction
Male reproductive system
Female reproductive system
Development and embryology
Reproductive technology
UNIT 2 – Genetics
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
Genetics – what makes us each unique?
Determining phenotypes
Asexual reproduction
Sexual reproduction
Meiosis and sexual reproduction
Laboratories:
• Meiosis
• DNA separation simulation
• Karyotyping
Components of DNA – the stuff we are made of
Constructing a DNA model
Genes to proteins
DNA mutations
Genetic engineering
Biology B
Scope and Sequence
UNIT 3 – Classification
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
The need for classification
What is biological classification?
Naming organisms: the principles of taxonomy
How to classify: use a classification key
Classifying trees by using their leaves
Laboratory: animal classification
More applications of the animal classification lab
Modern taxonomy: biosystematics
Biosystematics today
A species problem: are the wolf and dog members of the same species?
The science of biosystematics: evidences of relationship
Modern classification: problem solving
UNIT 4 – Evolution
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
Where is all began
Evidence of evolution from fossils
Evolution: change over time
Evidence of evolution in the fossil record
Laboratories:
• Finch
• Comparative similarities
• Constructing a cladogram
Modern evolution
Natural selection of alleles
Mechanisms of change
The peppered moth – survival of the fittest
Comparative similarities of evolution
Path of humans
Biology B
Scope and Sequence
UNIT 5 – Ecology
1
2.
3.
4.
5.
6.
7.
8.
Levels of organization
Laboratories:
• Biodiversity
• Foreign invaders: ecological succession
• Saving a habitat
• Ecosystem in a bottle
• Ecosystem damage
Energy systems
Competition shapes communities
Cycling of ecosystem materials
Limits of growth
Human impact
Dangers of the ecosystem
PASS - U.S. HISTORY A
NPC – 2003
SEQUENCE OF SKILLS
UNIT 1 – Reconstruction and Backlash
1.
2.
3.
4.
5.
6.
Lincoln's and Johnson's plans for Reconstruction
Congressional Reconstruction
Amendments 13, 14, and 15
Ku Klux Klan and Jim Crow Laws
Plessy vs. Ferguson
Booker T. Washington and W.E.B. DuBois
UNIT 2 – The Industrialization of the United States: 1876 -1914
1.
2.
3.
4.
5.
6.
7.
The United States becomes an industrial giant
Andrew Carnegie and John Rockefeller
Growth of unions
Immigration
Urbanization
Laissez-faire capitalism
Theodore Roosevelt, trustbuster
UNIT 3 – United States Expansion: 1877 -1920
1
2.
3.
4.
5.
6.
7.
Settlers move west
Battle of Little Big Horn
Cowboy kingdom
Agriculture in the West
Spanish American War
American influence grows in Asia and Latin America
The Panama Canal
U.S. History A
Sequence of Skills
UNlT 4 – Theodore Roosevelt to Woodrow Wilson: The Progressive Era
1.
2.
3.
4.
5.
6.
7.
Populists and Progressives
Muckrakers
The Wisconsin Idea
The presidency of Theodore Roosevelt
Amendments 16, 17, 18, and 19
Regulating and reforming big business
The presidency of Woodrow Wilson
UNIT 5 – Boom to Bust: World War I to the Great Depression
1.
2.
3.
4.
5.
World War I
The Fourteen Points
Postwar isolationism
The Roaring Twenties
The Jazz Age
PASS - U.S. HISTORY B
NPC – 2004
SEQUENCE OF SKILLS
UNIT 1 – The Great Depression - World War II
1.
2.
3.
4.
5.
The Great Depression (1929 - 1932)
Franklin Delano Roosevelt
The New Deal
World War II
The Holocaust
UNIT 2 – The Cold War: 1945 - 1960
1.
2.
3.
4.
5.
6.
The United Nations
The Cold War around the World
American fear of Communism
The McCarthy Era
Dwight Eisenhower in office
Economic growth in America
UNIT 3 – The Sixties: A Decade of Change and Upheaval
1.
2.
3.
4.
5.
The civil rights movement
John Kennedy elected to office
Lyndon B. Johnson as President
American involvement in Vietnam
Heavy opposition to Vietnam War
UNIT 4 – Years of Turmoil and Change: 1968 -1988
1.
2.
3.
4.
5.
Richard Nixon's terms in office
Watergate
Gerald Ford as President
Jimmy Carter is elected
Ronald Regan serves two terms
U.S. History B
Sequence of Skills
UNIT 5 – 1988 - Present
1.
2.
3.
4.
5.
6.
7.
George H. W. Bush takes office
The Cold War comes to an end
The Persian Gulf War
Bill Clinton's two terms
George W. Bush and Homeland Security
Terrorism
Technology
PASS - WORLD HISTORY A
NPC – 2008
SEQUENCE OF SKILLS
UNIT 1 – Early Times
1.
2.
3.
4.
5.
Pre-Historical Theories – Human Development
Ancient Civilizations
Empires
The Crusades
The Birth of Modern Day World Religions
UNIT 2 – Roots of Western Culture (1400-1800)
1.
2.
3.
4.
5.
6.
7.
8.
The Age of Exploration
European Renaissance
Reformation, Religion Repercussion, and Religious Wars
Changes in Government
The Scientific Revolution
The Enlightenment
Cultural and Social Changes
Changing European Economy
UNIT 3 – Africa and the New World
1.
2.
3.
4.
5.
6.
Impact of Spanish in Latin America
Native People of North America
Settlers in the New World
Vulnerable Territories
Columbian Exchange
Imperialism and Colonization
World History A
Scope and Sequence
UNIT 4 – The Middle East, India, East Asia and Beyond (1400-1800)
1.
2.
3.
4.
5.
6.
7.
Islamic Empires
British Influence
Asian Dynasties
Imperialism
The Russian Empire
Clash of Cultures
The Land Down Under
UNIT 5 – The World in Revolution
1.
2.
3.
4.
5.
Prelude to Revolutions
Napoleonic Era
Revolutions for Freedom
Industrial Revolution and Economic Growth
Effects of Imperialism
PASS – WORLD HISTORY B
NPC – 2008
SEQUENCE OF SKILLS
UNIT 1 – War and Revolution
1.
2.
3.
4.
5.
6.
7.
Nationalism: A Force for Change
The Armenian Genocide
World War I - Great War
Legacy of War – A Flawed Peace
Revolutions in Russia
Worldwide Depression
The Western Democracies Between the Wars
UNIT 2 – World at War and the Restructuring of the Post-War World
1.
2.
3.
4.
5.
6.
7.
Revolution and Nationalism
Rise of Fascism
Aggression and War
World War II
Allied Victory – The Costs of War
The Cold War
A Bi-Polar World
UNIT 3 – Revolutions: the Colonies Become New Nations
1.
2.
3.
4.
5.
6.
Communist Revolution in China
Cole War Hot spots
Genocide
Nations Gain Independence
Conflict in the Middle East, Central Asia, and Latin America
Human Rights Violation in the 20th Century
World History B
Scope and Sequence
UNIT 4 – The Modern World
1.
2.
3.
4.
5.
6.
7.
Reform and Change in Communist China
Southeast Asia
Apartheid in South Africa
Islamic Fundamentalism in Iran
Fall of the Soviet Empire
Genocide in Yugoslavia
Forces Shaping Modern Latin America
UNIT 5 – Current Global Issues
1.
2.
3.
4.
5.
6.
7.
Cultural Diffusion: A Global Community
Impact of Science and Technology – the Environment
International Terrorism
Human Rights Issues
Drug Trafficking
Nuclear Proliferation
The Role of the United Nations
PASS – U.S. GOVERNMENT
NPC – 2004
SEQUENCE OF SKILLS
UNlT 1 – Birth of American Democracy
1.
Basis and types of Government
2.
Events leading to the American Revolution
3.
The influence of the French and Indian War
4.
Contributions of historical individuals
5.
The Declaration of Independence
6.
Separation from England
7.
Post-revolution government under the Articles of Confederation
8.
A new government begins
UNlT 2 – United States Constitution
1.
Structure and purpose of the Constitution
2.
The Constitution of the United States
3.
The process of amending the Constitution
4.
The Amendments of the Constitution
5.
Symbols of American culture
UNlT 3 – Separation of Powers
1.
Separation of power
2.
The Constitution and the Legislative Branch
3.
The Constitution and the Executive Branch
4.
Organization of the Executive Branch
5.
The Constitution and the Judicial Branch
6.
Supreme Court decisions
UNIT 4 – Citizenship and Politics
1.
Becoming a citizen
2.
Responsibilities of citizenship
3.
The voting process
4.
Influencing the government
5.
Political parties
6.
Government revenues
7.
Media influences
UNlT 5 – Public Policy
1.
Civics
2.
Politics and demographics
3.
United States economy
4.
Domestic policy
5.
Global economy
6.
U.S. Foreign policy
7.
The United Nations
PASS – WORLD GEOGRAPHY A
NPC – 2012
SCOPE OF COURSE
This first semester of a two-semester course includes two units that serve as an introduction to
the study of geography and the basic skills that are applied to investigation of the physical
characteristics of the world. The remaining three units focus on the regions and countries of
the Western Hemisphere and the role geography has played both historically and in the
present.
SEQUENCE OF SKILLS
UNIT 1 – Introduction to the Study of Geography
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
Introduction to geography
Studying geography
Five themes of geography
Value of geography
Reasons to study geography
Observing the world
Geographers’ method
Physical and human characteristics
Resources and change
The human dilemma
Modifying our environment
Fields of geography
Careers in geography
UNIT 2 – Geography Skills
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
Global perspective
Maps and globes
Types of maps
Map skills
Regions
Physical characteristics
Geographic forms
Cultural characteristics
Meaning of culture
Belief systems
Political systems
Economic systems
World Geography A
Scope and Sequence
UNIT 3 – North America
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
Overview of North America
Canada
Native civilizations of Canada
European claims on the Canadian wilderness
Modern issues: Quebec
Climate and topography of the United States
People of the United States
The modern United States
Overview of Mexico
Native civilizations of Mexico
Spanish conquest and domination
Modern Mexico
NAFTA
UNIT 4 – Central America and the Caribbean
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
Overview and early history of Central America
Colonialism and independence
Guatemala, Honduras, and Nicaragua
Belize and El Salvador
Panama and return of the Canal
Overview of the Caribbean
Encounter with Europe: case study of the Arawak Indians
Case study of independence: the Haitian revolution
Modern Haiti
Cuba: revolution and communism
Island nations: The Greater Antilles
Island nations: the Lesser Antilles
Modern issues: tourism
UNIT 5 – South America
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
Overview of South America
Native cultures and early history
European domination and colonialism
Independence and regionalism
Venezuela and Colombia
Ecuador, Peru, and Bolivia
Guyana, Surinam, and French Guiana
The Galapagos Islands
Chile and Argentina
Brazil, Uruguay, and Paraguay
Modern issues: cash crops
Modern issues: rainforests and deforestation
Modern issues: urbanization
PASS – WORLD GEOGRAPHY B
NPC – 2012
SCOPE OF COURSE
This second semester of a two-semester course consists of five units that focus on the regions
and countries of the Eastern Hemisphere and the role geography has played both historically
and in the present.
SEQUENCE OF SKILLS
UNIT 1 – Europe
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
Overview of Europe
Northern and Western Europe
Mediterranean Europe
Eastern Europe
Northern Eurasia
European Russia and the Caucasus
The Irish Potato Famine
European Imperialism
The geography of Genocide: case study of Yugoslavia
The commonwealth of independent states
Environmental disaster at Chernobyl
European unity
Modern geographic issues: pollution
UNIT 2 – Africa
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
Northern Africa
Overview of sub-Saharan Africa
West Africa
East Africa
Southern Africa
Egypt: then and now
Medieval West Africa civilizations
Cultural diffusion: Bantu migrations and Swahili
European imperialism and independence in Africa
The legacy of European imperialism in southern Africa
Civil War in the Congo
Famine in Somalia
Modern geographic issues: disease
World Geography B
Scope and Sequence
UNIT 3 – The Middle East
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
Overview of southwest Asia and northern Africa
History of the Fertile Crescent
The rise and spread of monotheistic faiths
Islam: a unifying and dividing force
The Arabian Peninsula today
The eastern Mediterranean
Case study: conflict in Israel
Central Asia
Turkey
Modern Iran
Modern Issues: conflict in Iraq
Essential resources: oil and OPEC
Essential resources: water
UNIT 4 – East Asia and the South Pacific
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
Overview of East Asia
China
China: three gorges dam
Mongolia and Taiwan
Japan: geography and the development of an isolated culture
Japan: modern issues and innovation
The two Koreas
Overview of Southeast Asia
Burma/Myanmar, Thailand and Cambodia
Laos and Vietnam
Malaysia, Singapore, Indonesia, Papua New Guinea, and the Philippines
Pacific rim economies: the Asian Tigers
Australia and New Zealand
UNIT 5 – South Asia
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
Overview of South Asia
Monsoons up close
Ancient India: the Indus valley
India: invasion and conquest
Modern India
Creation of Pakistan
Modern Pakistan
Bangladesh
Sri Lanka: from colonialism to Civil War
Himalayan mountains: Nepal and Bhutan
Afghanistan: history of invasions
Modern Afghanistan
Modern issues for South Asia
PASS – ETHNIC STUDIES
Revised 1993
SCOPE OF COURSE
This course covers the history, culture and contributions of the following ethnic groups:
Native Americans, Caucasian Non-Hispanic, Asians and African Americans.
SEQUENCE OF SKILLS
UNIT I – Native Americans
This unit covers history, events and people including Native American legends, literature,
music, poetry, customs and traditions, regions, tribes and famous Indians.
UNIT II – Hispanics
This unit covers history, events and people including Hispanic family traditions and culture,
customs, religion, the art of Ancient Mexico, theater and literature.
UNIT III – Caucasian Non-Hispanic
This unit covers history, events and people including Caucasian literature, art, traditions and
customs, and famous people.
UNIT IV – Asians
This unit covers history, events and people including Asian immigration, discrimination, arts,
major religions, famous people and written languages.
UNIT V – African Americans
This unit covers history, events and people including African American settlement in the
United States, slavery, art and literature, discrimination, music, and famous people.
PASS – CONSUMER EDUCATION
Original
SCOPE OF COURSE
This course covers making informed consumer decisions; becoming knowledgeable of
consumer laws, rights and methods of recourse; and developing an understanding of the
consumer role in economic, social and government systems.
SEQUENCE OF SKILLS
UNIT I – The Role of the Consumer
1.
2.
3.
4.
5.
Define consumer related terminology
Name roles of the consumer
Describe consumer rights
Recognize consumer fraud
Demonstrate knowledge of consumer complaint procedures
UNIT II – Consumer Economic Goals
1.
2.
3.
4.
5.
Define personal and economic goals
Demonstrate awareness of reasons for budgeting
Define budget related terminology
Understand checking and savings accounts
Write a check
UNIT III – Credit and Advertising
1.
2.
3.
4.
5.
6.
7.
Define credit and advertising vocabulary
List advantages and disadvantages of charge accounts
Explain why a contract should be read completely
Name items asked for on a credit application
Explain comparison shopping
Identify legislation protecting consumers
Relate the importance of being able to judge advertisements
UNIT IV – Consumer Decision Making--Nutrition and Health
1.
2.
3.
4.
5.
6.
Define nutrition and consumer sales vocabulary
Recognize foods from each basic food group
Explain the importance of a balanced diet
Recognize impulse buying
Define recommended daily allowance
Demonstrate knowledge of sales, brands and quality, and durability decision making
UNIT V – Consumer Decision Making--Household and Medical
1.
2.
3.
4.
5.
6.
7.
Define consumer sales and vocabulary
Explain the meaning of generic
Explain clothing sales procedure
Explain consumer protection legislation
Recognize variable and fixed automobile costs
Identify natural and synthetic fibers
Name types of automobile insurance coverage
PASS – ECONOMICS
NPC – 2006
SEQUENCE OF SKILLS
UNIT 1 – Fundamentals of Economics
1.
2.
3.
4.
5.
6.
7.
8.
Basics of economics
Instructions for reading graphs
Macroeconomics
Microeconomics
Scarcity's role in the economy
Resources – natural, human, capital
Factors of production
Economic systems – traditional, command, market
UNIT 2 – Supply, Demand, and Prices
1.
2.
3.
4.
5.
Relationship between supply and demand
Utility
Determinants of elasticity and inelasticity
Market price
Price and the government
UNIT 3 – Business and Government
1.
2.
3.
4.
5.
6.
7.
Business organizations - sole proprietorship, partnership, corporation
Market structures – perfect competition, monopoly, and oligopoly
Price determination
Role of government in economics
Government revenue and spending
Measuring economic performance
Business cycle
Economics
Scope and Sequence
UNIT 4 – Employment and Money
1.
2.
3.
4.
5.
6.
7.
8.
9.
Elements of employment
Labor unions
Trends in labor
Poverty and income distribution
Wages and income
Exchanging for goods and services
Budgeting
Banking, saving, investing
Monetary policy
UNIT 5 – Global Economics
1.
2.
3.
4.
5.
International trade
Trade – balance, barriers, agreements
Economic systems – capitalism, socialism, communism
Global view of U.S. economy
Third world research
PASS – CONSUMER MATH
Revised 1993
SCOPE OF COURSE
This course identifies basic consumer choices and teaches the skills needed to make economically
sound consumer decisions. Lessons center around specific consumer tasks--budgeting, limited
resources, comparison shopping, energy conservation, maintaining savings and checking accounts.
SEQUENCE OF SKILLS
UNIT I – Earnings and Income Tax
1.
Calculate time worked and hourly wages.
2.
Calculate commission, piece work and overtime.
3.
Define vocabulary words.
4.
Complete a tax return.
UNIT II – Dealing With Money
1.
Use cash and calculate cash purchases.
2.
Open, use and balance a checking account.
3.
Understand and use special vocabulary.
4.
Open and use a savings account.
5.
Purchase and complete a money order.
UNIT III – Housing. Utility and Remodeling / Repair Costs
1.
Calculate rental and house payment costs.
2.
Calculate building costs, taxes and insurance costs.
3.
Read utility meters and calculate costs.
4.
Define vocabulary terms.
5.
Figure and compare home repair costs.
UNIT IV – Comparative Shopping and Short-Term Credit
1.
Calculate and compare unit costs.
2.
Calculate sales discount.
3.
Understand using credit cards.
4.
Fill out a mail order form.
UNIT V – Long -Term Credit and Budgeting
1.
Calculate down payments and deferred price.
2.
Calculate miles per gallon.
3.
Understand the concepts of needs and wants.
4.
Demonstrate the differences in fixed and flexible expenses.
5.
Develop a budget worksheet.
PASS - PERSONAL FINANCE
NPC – 2007
SEQUENCE OF SKILLS
UNIT 1 – Earnings and Income Tax
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
Introduction to various methods of being paid for work done
Calculate weekly wages
Review decimal point placement when multiplying decimals
Determining the number of hours worked
Calculate overtime earnings based on regular rate of pay
Calculate piecework earnings
Learn about being paid on commission: what it is, how to compute, what kinds of jobs
are paid this way, and advantages and disadvantages of this form of payment
Salary and combinations: pay periods and computing straight salary or combined with
commissions
Payroll deductions
Reading earnings statements
Calculating net pay
Withholding allowances: filling out a W-4 form
Calculate city and state income taxes as a portion of earnings
Calculate FICA as a portion of earnings for regular and self-employment
Federal income tax
Fringe benefits
Personal Finance
Sequence of Skills
UNIT 2 – Dealing with Money
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
Review adding, subtracting, and multiplying money amounts
Define and practice using terms associated with money
Find the cost of goods and services using a price list
Add and/or multiply the cost of goods and services to find the total cost of a purchase
Calculate city and state sales taxes on a purchase
Calculate change according to the cost and payment
Make change by addition from cost of item to the amount of payment
Fill out sample money orders
Calculate the fees for purchasing money orders
Practice using a signature card for a checking account
Define and use terms related to checking and savings accounts
Fill out deposit slips to deposit money in a checking account
Endorse checks
Fill out checks
Protecting your checking account
Advantages and disadvantages of debit cards
Calculate ATM withdrawals, including cash and fees
Use of a register to track payments, withdrawals, and deposits for a checking account
Practice using an imaginary checking account for one month
Reconcile a checking account using a bank statement and check register
Savings accounts and simple interest
Personal Finance
Sequence of Skills
UNIT 3 – Budgeting and Credit
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
Calculate monthly income
Look at common types of monthly expenses
Explain the difference between a need and a want
Explain the difference between the two main types of expenses
Calculate fixed expenses and flexible expenses
Create a monthly budget
Use a monthly budget
Track actual expenses and compare to the budgeted amount
Track savings using a monthly budget summary
Learn to distinguish between necessary and careless or wasteful spending
Learn how much money to save in an emergency fund
Look at ways that unplanned expenses can add up and cause financial problems if not
anticipated
Learn about the three main types of credit
Calculate the number of payments or length of payment plan for installment credit
Learn about credit limits with revolving credit
Calculate simple interest for a loan
Examine how the length of a loan affects how much interest the borrower pays
Calculate fees and minimum payment amounts for credit cards
Learn to read a credit report
Calculate total money owed to lenders
Develop a plan to repay loans in order of priority
Calculate a debt limit of 20% of yearly net income
Calculate a limit on debt payments of 10% of monthly net income
Calculate total assets and total liabilities
Calculate net worth
Personal Finance
Sequence of Skills
UNIT 4 – Housing Costs
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
Calculate move-in costs for renting
Calculate monthly cost of rental housing
Learn to read and understand a lease
Find the cost and coverage of renters insurance
Compare the monthly cost of renting versus buying
Calculate the down payment for a house as a percentage of the total cost of the house
Find the amount of time needed to save a down payment
Learn about private mortgage insurance
Calculate the interest repaid on a mortgage, depending on the length of the loan and
the interest rate
Calculate property tax on the assessed value of real estate
Find the monthly cost of homeowners insurance based on the annual premium
Find the total annual cost of insurance with the basic and additional coverage
Calculate a monthly house payment including the costs of property tax and
homeowners insurance
Calculate the breakdown of charges on a water bill
Learn to read a water meter
Learn to read a gas meter
Calculate the charges for natural gas by unit
Figure the equal monthly payment for natural gas
Learn to read an electric meter
Calculate the charges for electricity by unit
Calculate the energy consumption of some household appliances
Calculate the cost of local and long distance service, depending on the fees and cost
per minute for calling
Calculate the cost of different wireless service plans
Calculate the cost of some types of home repair.
Compare the cost of buying furniture and appliances to the cost of renting-to-own
Personal Finance
Sequence of Skills
UNIT 5 – Smart Shopping
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
Find the cost of buying goods in quantity
Compare costs for different sized containers of the same item
Learn about seven common types of advertising appeals
Calculate savings when buying goods or services on special
Find the amount of discount for a sale item
Find the cost of an item after a rebate
Calculate sale prices according to the dollar amount, percent, or fraction off the
original prices
Learn how layaway plans and agreements work
Calculate the deposit amount for a layaway plan
Find the additional cost of using layaway
Find out how much merchandise you would need to buy to offset the cost of joining a
buying club
Learn to recognize the warning signs of a dishonest buying club
Read and understand a catalog entry
Fill out an order form for a catalog order, including totaling the order and adding the cost
of shipping
Calculate the total cost of an online purchase
Understand buying and selling on an Internet auction
Learn to recognize common types of consumer fraud
Learn how to write a consumer complaint letter
Calculate the down payment and finance amount to buy a car
Find the deferred price of a car
Learn to read an odometer
Calculate miles per gallon
Find the cost of gas to operate a car for one year
Calculate the amount of mileage before scheduled tune-ups
Find the total cost of repairs
PASS – GENERAL MATH A
Developed 1989
SCOPE OF COURSE
This course in basic math skills addresses place value and whole numbers, Roman numerals,
use of symbols, and computation. Students are required to make skill application in
anticipated daily life situations.
SEQUENCE OF SKILLS
UNIT I – Addition and Subtraction
1.
2.
3.
4.
5.
6.
7.
8.
9.
Basic addition facts and applications
Addition without regrouping
Two digit addition regrouping
Three digit addition with zeros
Three digit addition with regrouping
Multiple addends with regrouping
Basic subtraction facts and applications
Subtraction without regrouping
Subtraction with regrouping
UNIT II – Multiplication
1.
2.
3.
4.
5.
6.
Basic multiplication facts and applications
Multiplication without regrouping
Two digit multiplication with regrouping
Three digit multiplication with zero
Two digit times two digit multiplication
Three digit multiplication
UNIT III – Numeration System and Place Value
1.
2.
3.
4.
5.
6.
Recognize whole numbers
Identifying place value
Looking at larger numbers
Word number
Face value, place value and total value
Expanded notation
General Math A
Scope and Sequence
UNIT IV – Division
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
Basic steps in division and their application
One digit divisor, two digit dividend with remainders
One digit divisor, three or four digit dividend with zero
Two digit divisor, two digit dividend without remainders
Two digit divisor, two digit dividend with remainders
Two digit divisor, three digit dividend without remainders
Two digit divisor, multiple digit dividends without remainders
Two digit divisor, multiple digit dividends with remainders
Three digit divisor, multiple digit dividends without remainders
Three digit divisor, multiple digit dividends with remainders
Three digit divisor and dividend with zero
Multiple dividends
UNIT V – Application
1.
2.
3.
4.
5.
6.
7.
8.
9.
Review of addition
Review of subtraction
Review of multiplication
Review of division
An introduction to problem solving
Estimation
Strategies for problem solving
Finding average
Understanding charts, tables and graphs
PASS – GENERAL MATH B
Developed 1992
SCOPE OF COURSE
This course continues to reinforce basic mathematical skills through the introduction and
application of fractions, decimals, percents, measurements and metrics. Students are required
to complete computations relevant to daily life situations.
SEQUENCE OF SKILLS
UNIT VI – Fractions
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
Identify fractions as part of the whole
Identify proper, improper and mixed number fractions
Write equivalent fractions
Reduce fractions to lowest terms
Rename fractions
Identify the GCF and the LCD
Add fractions
Subtract fractions
Multiply fractions
Divide fractions
UNIT VII – Decimals
1.
2.
3.
4.
5.
6.
7.
8.
Understand place value
Read and write decimals
Round decimals
Change decimals to fractions and fractions to decimals
Add decimals
Subtract decimals
Multiply decimals
Divide decimals
UNIT VIII – Percents
1.
2.
3.
4.
5.
6.
7.
8.
Change decimals to percents
Change common fractions and mixed numbers to percent
Change percents to decimals
Change percents, common fractions and mixed numbers
Find a percent of a number
Find what percent one number is of another
Find a number when a percent of it is known
Solve percent by proportion and ratio
General Math B
Scope and Sequence
UNIT IX – Measurement
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
Identify lines
Measure lines.
Understand plane closed figures
Find perimeters
Compare lineal units of measure
Compare units of liquid measure
Compare units of mass
Add and subtract measures
Multiply and divide measures
Find areas
Find volumes
UNIT X – Metrics
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
Measure metric length
Understand metric meanings
Apply metric conversions
Find sums or differences
Find the perimeter
Find the area
Find the volume
Find the weight
Understand Celsius temperatures
Apply metrics
PASS – PRE-ALGEBRA & CALCULATOR MATH
Revised 1992
SCOPE OF COURSE
This course in Pre-Algebra concepts and skills encompasses the use of whole numbers and theory;
quantitative data; percents, ratios and proportions; and integers. Additionally, instruction in the use of
the calculator assists in a better understanding of the manipulation of numbers.
SEQUENCE OF SKILLS
UNIT I – Whole Numbers and Number Theory
1.
2.
3.
4.
5.
6.
7.
8.
9.
Add, subtract, multiply and divide whole numbers
Round whole numbers
Identify prime and composite numbers
Find all factors of a given number
Factor a number using primes and exponents
Find greatest common factor (GCF)
Find least common multiple (LCM)
Solve a simple algebraic equation
Use a calculator to solve problems
UNIT II – Fractions. Decimals and Quantitative Data
1.
2.
3.
4.
5.
6.
7.
Add, subtract, multiply and divide fractions
Evaluate formulas
Solve simple linear equations
Add, subtract, multiply and divide decimals
Change fractions to decimals and vice-versa
Simplify fractions
Solve problems using a calculator
UNIT III – Percents. Ratio and Proportions
1.
2.
3.
4.
5.
6.
7.
Change percents to decimals or fractions and vice-versa
Use percents
Use proportions
Evaluate formulas
Solve simple algebraic equations
Evaluate algebraic expressions
Solve problems using a calculator
Pre Algebra/Calculator Math
Scope and Sequence
UNIT IV – Integers
1.
2.
3.
4.
5.
6.
7.
8.
Represent integers on a number line
Add and subtract integers on a number line
Find the opposite (additive inverse) of an integer
Add, subtract, multiply and divide integers
Add, subtract, multiply and divide rational numbers
Simplify expressions
Solve equations
Solve problems using a calculator
UNIT V – More Algebra
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
Solve 1, 2 or 3-step equations
Solve inequalities
Translate English phrases into algebraic phrases
Factor polynomials
Find approximations of square roots
Use the Pythagorean Theorem
Identify points in a plane
Identify graphs of equations
ldentify graphs of inequalities
Solve problems using a calculator
PASS – ALGEBRA IA
Third Edition - NPC-2012
SCOPE OF COURSE
Algebra I is divided into two parts. Algebra IA and Algebra IB each contain 5 units with 14
lessons in each unit. Units consist of concepts and strategies in mathematical standards
with an emphasis upon standards from states sending migrant students to sites throughout
the country.
SEQUENCE OF SKILLS
UNIT 1 – Foundations
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
Real Numbers
Sets
Variables and Axioms
Real Number Properties, Commutative, Associative and Distributive
Properties of Real Numbers
Density Property of Real Numbers
Addition of Signed (+I-) Numbers (Integers)
Subtraction of Signed (+I-) Numbers (Integers)
Multiplication and Division of Signed Numbers
Fractions and Number Sense
Operations with Fractions
Decimals
Scientific Notation and Percent
Properties of Real Numbers, Order and the Number Line
UNIT 2 – Measurement and Mathematic Reasoning
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
Exponents
Operations with Exponents
Radicals
Like Radicals
Absolute Value
Order of Operations
Measurement - Conversions
Nonstandard Measurement and Measurement as Problem Solving
Measurement - Estimation and Accuracy
Mathematical Reasoning
Mathematical Reasoning - "And & "Or"
Mathematical Reasoning - Conditional and Biconditional Statements
Mathematical Reasoning - Deduction
Mathematical Reasoning - Induction
Algebra IA
Scope and Sequence
UNIT 3 – Algebraic Expressions
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
Writing Algebraic Expressions
Evaluating Algebraic Expressions with One Variable
Evaluating Algebraic Expressions with More than One Variable
Polynomials
Combining Like Terms
Adding and Subtracting Polynomials
Simplifying Algebraic Expressions with Exponents
More on Algebraic Expressions with Exponents
Multiplying Polynomials
Multiplying a Binomial Times a Binomial
Special Binomial Products
Multiplication with Polynomials
Dividing a Polynomial by a Monomial
Dividing a Polynomial by a Binomial
UNIT 4 – Factoring
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
Factoring - Common Factors
The Difference of Two Squares
Factoring Trinomials
Factoring Trinomials - Advanced
Factoring Trinomials - More Advanced
Factoring by Grouping
Factoring the Sum and Difference of Two Cubes
Factoring Completely
Reducing Algebraic Fractions - Using Factoring
Addition and Subtraction of Algebraic Fractions with Common Denominators
Addition and Subtraction of Algebraic Fractions without Common Denominators
Multiplying and Dividing Algebraic Fractions
Complex Algebraic Fractions
More on Complex Algebraic Fractions
Algebra IA
Scope and Sequence
UNIT 5 – Equations
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
Equations
One Step Equations - Addition and Subtraction
One Step Equations - Multiplication and Division
Two Step Equations
Multiple - Step Equations
Writing Equations
Word Problems with One Variable (Number Relations, Consecutive Integer,
and Average Problems)
Word Problems with One Variable (Coin Problems and Interest Problems)
Word Problems with One Variable (Perimeter and Area)
Rational Algebraic Expressions
Distance - Rate - Time Problems
Work Problems and Percent Problems
Mixture Problems
Literal Equations
PASS – ALGEBRA IB
Third Edition - NPC-2012
SCOPE OF COURSE
Algebra IB covers relations, functions, functional metations, linear equations, inequalities,
quadratic functions, and problem solving through statistical applications. Algebra IB contains 5
units with each unit comprised of 14 lessons. The course builds upon Algebra IA concepts and
strategies from mathematical standards of various states.
SEQUENCE OF SKILLS
UNIT 1 – Linear Functions
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
Functions and Relations
Functional Notation
Graphing
Linear Functions
Slope of a Line
lntercepts
Applications of Slope and lntercepts
Effects of Change of Slope and lntercepts
Parallel and Perpendicular Lines
Writing Linear Equations
More on Writing Linear Equations
Horizontal and Vertical Lines
More Special Linear Equations and Inverses
Applications
UNIT 2 – Inequalities, Absolute Value and Radicals
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
Graphing and Writing lnequalities - Part I
Graphing and Writing Inequalities – Part II
The Algebra of lnequalities
Linear lnequalities in Two Variables
Writing Linear lnequalities in Two Variables
Absolute Value Equations
Absolute Value lnequalities with One Variable
Absolute Value lnequalities with Two Variables
Simplifying Radicals with Variables
Multiplying and Dividing Radical Expressions with Variables
Addition and Subtraction of Radicals with Variables
Rational Expressions with Radical Monomial Denominators
Rational Expressions with Radical Binomial Denominators
Gears, Pulleys, and the Wheel and Axle
Algebra IB
Scope and Sequence
UNIT 3 – Quadratic Functions, Circles and Modeling Exponential Growth
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
Conic Sections
The Basics About Quadratic Functions
Solving Quadratic Equations - Using Square Roots
Solving Quadratic Equations - By Factoring
Completing the Square
The Quadratic Formula
The Discriminant and the Nature of Roots
The Vertex of a Parabola
Graphing Quadratic Functions
Writing the Equations of Quadratic Functions
Maximum and Minimum Problems
The Distance Formula and a Circle
The Midpoint Formula and the Circle
Mathematical Modeling - Exponential Growth and Decay
UNIT 4 – Systems of Equations and Inequalities
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
Systems of Two Linear Equations – Graphing
Systems of Two Linear Equations - Substitution
Systems of two Linear Equations - Addition or Elimination Method
Writing Systems of Equations
Systems of Equations with More than Two Variables
Solving Systems of Equations in Three Variables by Elimination
Applications of Systems of Equations with Three Variables
Simultaneous Solutions - A Linear Equation and a Quadratic Function
Simultaneous Solutions - A Linear Equation and an Absolute Value
Function or a Circle
Matrices - Introduction
Solving Systems of Equations with Matrices
Determinants and Cramer's Rule
Systems of Linear lnequalities
Linear Programming
Algebra IB
Scope and Sequence
UNIT 5 – Probability and Statistics
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
Theoretical Probability
Mutually Exclusive and Complementary Events
Tree Diagrams and Multi-Stage Experiments
Geometric Probability and Expected Value
Experimental Probability and Simulations
Permutations
Combinations
Statistics – Organizing Data
Bar Graphs
Line Graphs and Pictographs
Circle Graphs
Mean and Median
Frequency Distributions
Box and Whisker Plots
PASS – ALGEBRA IIA
NPC – 2006
SEQUENCE OF SKILLS
UNIT 1 – Linear Equations and Functions
1.
Perform operations with real numbers
2.
Simplify and evaluate algebraic expressions
3.
Use linear equations to solve problems
4.
Rewrite equations and formulas to solve for a given variable
5.
Apply formulas in problem solving
6.
Analyze problems and write equations to solve them
7.
Determine when a relation is a function
8.
Graph and evaluate linear functions
9.
Find the slope of a line given its graph or two points on the line
10.
Classify pairs of lines as parallel, perpendicular, or neither
11.
Understand slope as a rate of change
12.
Graph an equation using slope-intercept form
13.
Graph an equation that is in standard form
14.
Write an equation of a line given its slope and y-intercept, the slope and a point on the
line, or two points on the line
15.
Use an algebraic model to make a prediction given a set of data
16.
Graph piecewise functions
17.
Solve absolute value equations
18.
Graph absolute value functions
Algebra IIA
Scope and Sequence
UNIT 2 – Systems of Linear Equations and Inequalities
1.
Solve linear inequalities
2.
Solve absolute value inequalities in one variable
3.
Graph linear inequalities
4.
Write linear inequalities
5.
Solve a linear system graphically
6.
Determine whether a system has zero, one, or many solutions by observing the graph
7.
Use the linear combination method
8.
Use the substitution method
9.
Determine algebraically whether a system has zero, one, or many solutions
10.
Apply linear systems to realistic situations
11.
Graph a system of two inequalities in two variables
12.
Graph a system of three inequalities in two variables
13
Describe the difference between bounded and unbounded regions
14.
Find minimum and maximum values of an objective function
15.
Use linear programming to solve problems in realistic situations
16.
Identify the octant in which an ordered triple is located
17.
Locate an ordered triple in three-dimensional space
18.
Write the ordered triple that corresponds to a given point in three- dimensional space
19.
Use the linear combination method to solve a system in three variables
20.
Determine whether a system has zero, one, or many solutions
21.
Apply systems in three variables to realistic situations
22.
State the dimensions of a given matrix and name its entries
23.
Identify row, column, square, and zero matrices
24.
Add and subtract matrices
25.
Multiply a matrix by a scalar
Algebra IIA
Scope and Sequence
26.
Use matrices to represent realistic situations
27.
Recognize when it is possible to multiply two matrices
28.
Multiply two matrices
29.
Verify the properties of matrix multiplication
30.
Use matrix multiplication in realistic situations
31.
Evaluate determinants of 2 x 3 and 3 x 3 matrices
32.
Use the determinant of a matrix to find the area of a triangle on the coordinate plane
33.
34.
Convert a system of linear equations in two variables into a matrix equation
Solve a system of linear equations in two variables using a graphing calculator
35.
Apply matrices to solve systems in two variables in realistic situations using a graphing
calculator
36.
Convert a system of linear equations in three or more variable into a matrix equation
37.
Solve a system of linear equations in three of more variables using a graphing
calculator
38.
Apply matrices to solve systems in three or more variables in realistic situations using a
graphing calculator
UNIT 3 – Quadratic Functions
1.
Recognize that the graph of a quadratic function is a parabola
2.
ldentify the vertex and the axis of symmetry for a parabola by observing its graph
3.
Determine whether a quadratic function is written in standard form, vertex form, or
intercept form
4.
Graph a quadratic function in standard form, vertex form, or intercept form
5.
Explore some realistic applications of quadratic functions
6.
Identify monomials, binomials, and trinomials, and recognize that these are all
polynomials
Algebra IIA
Scope and Sequence
7.
Factor a trinomial of the form x2 + bx + c or ax2 + bx + c
8.
Recognize and factor a difference of two squares or a perfect square trinomial
9.
Check to see if the terms of a given polynomial have a common monomial factor
10.
Solve quadratic equations by factoring
11.
Solve realistic problems using quadratic equations
12.
Recognize that solutions, zeros, x-intercepts, and roots are all related
13.
Discover that the maximum or minimum value of a quadratic function is the average of
its zeros
14.
Find the zeros of a quadratic function by factoring and writing the function in intercept
form
15.
Find the zeros of a quadratic function using a graphing calculator
16.
Understand and use the properties of square roots
17.
Apply the properties of square roots to solving quadratic equations
18.
Verify the solutions of a quadratic equation both algebraically and by using a graphing
calculator
19.
Use quadratic functions to model falling objects
20.
Discover that some parabolas do not cross the x-axis and therefore have no real
solutions
21.
22.
Understand the definitions of an imaginary number, complex number, and pure
imaginary number
Solve quadratic equations with imaginary solutions
23.
Add and subtract complex numbers
24.
Multiply complex numbers
25.
Recognize complex conjugates and discover that the product of complex numbers is
always a real number
26.
Divide complex numbers
27.
Explore the powers of i and discover a pattern
Algebra IIA
Scope and Sequence
28.
Simulate the process of completing the square using algebra tiles or sketches
29.
Complete a perfect square trinomial and write it as the square of a binomial
30.
Solve quadratic equations by completing the square
31.
Write the vertex form of a quadratic function by completing the square, given the
standard form
32.
Find the maximum value of a quadratic function by completing the square
33.
Given a graph of a quadratic function, select an equation in vertex form that represents
the graph
34.
Determine whether a quadratic function has two real solutions, one real solution, or two
imaginary solutions by examining its graph
35.
Apply the quadratic formula to solve quadratic equations with two real solutions,
one real solution, or two imaginary solutions
36.
Identify the discriminant of a quadratic equation and use it to determine the number and
nature of the functions' solutions
37.
Choose the most appropriate method for solving a quadratic equation: factoring,
square roots, quadratic formula, or graphing calculator
38.
Apply quadratic equations to realistic solutions
39.
Review graphs of linear inequalities
40.
Given a quadratic inequality and its graph, choose several points inside and outside
the parabola to determine which ones satisfy the inequality
41.
Match a quadratic inequality with its graph
42.
Graph a quadratic inequality
43.
Explore realistic applications of quadratic inequalities
44.
Graph a system of quadratic inequalities
45.
Solve a quadratic inequality by graphing
46.
Solve a quadratic inequality algebraically
47.
Explore some more realistic applications of quadratic inequalities
48.
Write a quadratic function in vertex form; intercept form, and standard form given
information about its graph
Algebra IIA
Scope and Sequence
49.
Produce a quadratic function that models a given set of data
50.
Find the best-fitting quadratic model for a set of data using a graphing calculator
UNIT 4 – Polynomial Functions and Their Graphs
1.
Evaluate and simplify expressions with exponents
2.
Apply scientific notation to solve realistic problems
3.
Identify and evaluate polynomial functions
4.
Use synthetic substitution
5.
Graph a polynomial function
6.
Determine the end behavior of a graph
7.
Add and subtract polynomials vertically and horizontally
8.
Multiply polynomials
9.
Apply special product patterns
10.
Factor polynomial expressions using the sum or difference of cubes
11.
Factor polynomials by grouping
12.
Apply factoring to solve polynomial equations
13.
Solve polynomial equations in realistic situations
14.
Divide polynomials using long division
15.
Divide polynomials using synthetic division
16.
Find rational zeros of polynomial functions
17.
Find rational zeros of polynomial functions with the assistance of a graphing
calculator
18.
State the number of solutions or zeros of a polynomial function
19
Write polynomial functions using zeros
20.
Solve realistic problems using polynomial models
21.
Graph a polynomial function using x-intercepts
22.
Analyze the graph of a polynomial function
Algebra IIA
Scope and Sequence
UNIT 5 – Power Functions and Inverses
1.
ldentify the index of a given radical
2.
Evaluate the nth root of real numbers using radical notation
3.
ldentify the number of real roots of a given real number
4.
Rewrite the nth roots using rational exponential notation
5.
Evaluate expressions with rational exponents
6.
Solve and equation using an nth root
7.
Use nth roots and rational exponents to solve realistic problems
8.
Simplify expressions using the properties of rational exponents
9.
Simplify expressions using the properties of radicals
10.
Write radicals in simplest form
11.
Add and subtract roots and radicals
12.
Identify a power function
13.
Graph a power function using both paper/pencil and the graphing calculator
14.
Add and subtract two functions
15.
Multiply and divide two functions
16.
Use function operations in a realistic situation
17.
Find the composition of two functions
18.
Find the inverse of a linear function numerically and algebraically
19.
Graph a linear function and its inverse
20.
Find the inverse of a nonlinear function
21.
Graph a nonlinear function and its inverse
22.
Graph the inverse of a function using the graphing calculator
23.
Determine if two functions are inverses using the graphing calculator
24.
Graph a square root function
25.
Investigate the effect of changing a in a function of the form y
calculator
a x using a graphing
Algebra IIA
Scope and Sequence
26.
Graph a cube root function
27.
Investigate the effect of changing a in a function y
28.
Use a radical function in a realistic situation
29.
Solve a simple radical equation
30.
Solve an equation with rational exponents
31.
Solve an equation with one radical
32.
Solve an equation with two radicals
33.
Solve an equation with extraneous solution(s)
a3 x using a graphing calculator
PASS – ALGEBRA IIB
NPC – 2006
SEQUENCE OF SKILLS
UNIT 1 – Exponential and Logarithmic Functions
1.
Investigate and compare the graphs of exponential functions
2.
Learn the definitions of "exponential function" and "asymptote"
3.
Graph exponential functions
4.
State the domain and range of an exponential function
5.
Differentiate between “percent increase” and a “growth factor”
6.
Write an equation that models an exponential function
7.
Graph a model of an exponential function
8.
Make predictions involving exponential functions
9.
Understand compound interest and find the balance of an account at a given time
10.
Differentiate between an exponential growth function and an exponential decay function
11.
Graph exponential decay functions
12
Understand the meaning of "decay factor"
13.
Use exponential decay functions in realistic situations
14.
Discover the value of e
15.
Simplify expressions involving e
16.
Use a calculator to evaluate expressions involving e
17.
Graph functions involving the number e
18.
State the domain and range of a function involving e
19.
Use the equations A = Pe rt and A = P 1
r
nt
in realistic situations
n
20.
Examine the difference between common logarithms and natural logarithms
21.
Evaluate common and natural logarithms
22.
Write an exponential equation in logarithmic form
23.
Write a logarithmic equation in exponential form
24.
Graph a logarithmic function
Algebra llB
Scope and Sequence
25.
Investigate the effect of changing the b, h, or k in a function of the the b, h, or k in
function of the form y = log b (x – h) + k
26.
Use logarithms in a realistic situation
27.
Discover the properties of logarithms through investigations
28.
Use the product, quotient, and power properties of logarithms
29.
Expand or condense a logarithmic expression
30.
Evaluate a logarithmic expression using the change-of-base formula
31.
Solve an exponential equation by equating exponents
32.
Solve an exponential equation by taking the logarithm of each side
33.
Solve a logarithmic equation by rewriting it as an exponential equation
34.
Solve a logarithmic equation involving logarithms with the same base
35.
Solve a logarithmic equation with extraneous solutions
36.
Write the equation of an exponential function whose graph passes through two given
points
37.
Decide whether an exponential function is a good model for a given set of data
38.
Use exponential regression on a graphing calculator
39.
Use power regression on a graphing calculator
40.
Write the equation of a power function whose graph passes through two given points
41.
Decide whether a power function is a good model for a given set of data
42.
Recognize situations for which a logistic growth function is a good model
43.
Use a graphing calculator to graph logistic growth functions and describe their shape
44.
Evaluate a logistic growth function for a given value
45.
Sketch the graph of a logistic growth function by using the asymptotes, the y-intercept,
and the point of maximum growth
46.
Solve a logistic growth equation
Algebra llB
Scope and Sequence
47.
Examine the graph of a logistic growth function and describe what it reveals about the
situation modeled by the graph
48.
Use logistic regression on a graphing calculator to formulate a logistic growth model
UNIT 2 – Rational Functions and Their Graphs
1.
Classify an equation as having direct variation, inverse variation, or neither
2.
Write an inverse variation equation
3.
Write an algebraic model of inverse variation to solve problems in realistic situations
4.
Write a joint variation equation
5.
Write a combined variation equation
6.
Write an algebraic model of joint variation to solve problems in realistic situations
7.
State the domain and range of a rational function
8.
Graph a rational function
9.
Investigate the effect of changing the numerator or denominator of a rational function
10.
Write an algebraic model of a rational function to solve problems in realistic situations
11.
State the domain and range of a given function
12.
Graph a given function
13.
Find a local minimum to solve problems in realistic situations
14.
Simplify a rational expression
15.
Multiply a rational expression containing monomials
16.
Multiply a rational expression containing polynomials
17.
Multiply a rational expression and a polynomial
18.
Write a rational expression to solve problems in realistic situations
19.
Divide rational expressions
Algebra llB
Scope and Sequence
20.
Divide a rational expression by a polynomial
21.
Combine multiplication and division to simplify rational expressions
22.
Write a rational expression to solve problems in realistic situations
23.
Verify numerically the results of rational expressions using a table (graphing
calculator)
24.
Verify graphically the results of rational expressions (graphing calculator)
25.
Add rational expressions with like denominators
26.
Add rational expressions with unlike denominators
27.
Use addition of rational expressions to solve problems in realistic situations
28.
Subtract rational expressions with like denominators
29.
Subtract rational expressions with unlike denominators
30.
Use subtraction of rational expressions to solve problems in realistic situations
31.
Simplify a complex fraction
32.
Write an equation involving complex fractions to solve problems in realistic situations
33.
Determine whether a given value is a solution of a rational equation
34.
Simplify and solve rational equations
35.
Simplify and solve rational equations with two solutions.
36.
Verify a solution of a rational equation.
37.
ldentify an extraneous solution.
38.
Use the graph of a rational expression to determine if a solution is extraneous.
39.
Solve a rational equation by cross multiplying
40.
Solve a rational equation by using the least common denominator or by cross
multiplying
41.
Prove the results are solutions to a given rational equation
42.
Identify extraneous solutions
Algebra llB
Scope and Sequence
43.
Write an algebraic model of a rational expression
44.
Use an algebraic model of a rational expression to solve problems in realistic
situations
UNIT 3 – Quadratic Relations and Conic Sections
1.
Use the distance formula to find the distance between two points
2.
Use the distance formula to classify a triangle as scalene, isosceles, or equilateral
3.
Find the midpoint of a line segment
4.
Apply the midpoint formula to write an equation for the line that is a perpendicular
bisector of a given line segment
5.
Use the distance formula in a realistic situation
6.
Graph a parabola
7.
ldentify the focus and directrix of a parabola
8.
Write an equation for a parabola that opens up or down
9.
Use parabolas in realistic situations
10.
Write an equation of a circle in standard form given the center and radius
11.
ldentify the center and radius of a circle
12.
Graph an equation of a circle
13.
Write an equation of a circle in standard form given a point on the circle and the center
14.
Write an equation of the line that is tangent to a circle at a given point
15.
Use circles in realistic situations
16.
ldentify the vertices, co-vertices, and foci of an ellipse
17.
Graph an equation of an ellipse
18.
Write an equation of an ellipse in standard form given the center, vertex,
and co-vertex
19.
Write an equation of an ellipse in standard form given the center, vertex, and focus
Algebra llB
Scope and Sequence
20.
Use ellipses in realistic situations
21.
Graph an equation of a hyperbola
22.
Write an equation of a hyperbola
23.
Use a hyperbola in a realistic situation
24.
Write an equation of a translated parabola, circle, ellipse, or hyperbola
25.
Classify a conic section as a circle, parabola, ellipse, or hyperbola, given
its equation
26.
Graph a conic section
27.
Solve a quadratic system by substitution
28.
Solve a quadratic system by linear combination
29.
Solve a system of quadratic models
UNIT 4 – Fundamentals of Trigonometry
1.
Write the ratios of trigonometric functions
2.
Evaluate trigonometric functions
3.
Use trigonometry to find the length of a side of a right triangle
4.
Use trigonometric functions to solve problems in realistic situations
5.
Draw angles in standard position
6.
Identify the quadrant in which the terminal side of an angle lies
7.
Find coterminal angles
8.
Convert between radian and degree measure
9.
Find the arc length and area of a given sector
10.
Evaluate a trigonometric function, given a point on the terminal side of an angle
11.
Find a reference angle for a given angle
12.
Evaluate trigonometric functions using reference angles
13.
Evaluate the inverse of a trigonometric function
14.
Use a trigonometric inverse to find the measure of an angle in a right triangle
Algebra llB
Scope and Sequence
15.
Write and solve a trigonometric equation
16.
Use inverse trigonometric functions to solve problems in realistic situations
17.
Write and solve an equation using the law of sines to find the measure of a side or an
angle in a triangle
18.
Use the sine function to find the area of a triangle
19.
Apply the sine function to solve problems in realistic situations
20.
Write and solve an equation using the law of cosines to find the measure
of a side or an angle in a triangle
21.
Use Heron's formula to find the area of a triangle
22.
Apply the law of cosines to solve problems in realistic situations
23.
Graph parametric equations
24.
State the domain for parametric equations
25.
Write parametric equations to solve projectile problems in realistic situations
26.
Identify the period and amplitude of sine and cosine functions
27.
Identify the intercepts, maximum, and minimum of sine and cosine functions
28.
Graph sine functions
29.
Graph cosine functions
30.
Identify the intercepts, asymptotes, and halfway points of tangent functions
31.
Graph tangent functions
32.
Graph translations of sine, cosine, and tangent functions
33.
Graph reflections of sine, cosine, and tangent functions
34.
Use a combination of a translation and a reflection to graph a sine, cosine, or tangent
function
35.
Find values of trigonometric functions using trigonometric identities
36.
Simplify trigonometric expressions using trigonometric identities
37.
Verify trigonometric identities
38.
Solve a trigonometric equation in a given interval
Algebra llB
Scope and Sequence
39.
Apply factoring to solve a trigonometric equation
40.
Use the quadratic formula to solve trigonometric equations
41.
Identify an extraneous solution of a trigonometric equation
42.
Write a trigonometric function for a sinusoid
43.
Use given data to graph a sinusoid
44.
Apply sinusoidal regression to graph a model of data on a graphing calculator
45.
Use the sum or difference of angles to simplify trigonometric expressions
46.
Use the sum or difference of angles to evaluate trigonometric expressions
47.
Use the double - and half-angle formulas to evaluate trigonometric expressions
48.
Use the double - and half-angle formulas to simplify trigonometric expressions
49.
Use the double - and half-angle formulas to verify a trigonometric identity
50.
Use the double - and half-angle formulas to solve a trigonometric equation
UNIT 5 – Probability and Statistics
1.
Use measures of central tendency and measures of variance to describe
data sets
2.
Use box-and-whisker plots and histograms to represent data graphically
3.
Use the graphing calculator to find measures of central tendency
4.
Use the graphing calculator to draw a histogram or box-and-whisker plot
5.
Use the fundamental counting principle to count the number of ways an event can occur
6.
Use permutations to count the number of ways an event can occur
7.
Use combinations to count the number of ways an event can occur
8.
Solve realistic problems using combinations
9.
Find the theoretical probability that an event will occur
Algebra llB
Scope and Sequence
10.
Use permutations or combinations to find the probability that an event will occur
11.
Find the experimental probability of an event occurring
12.
Use geometric probabilities to find the probability that a length, area, or volume could
occur in a given situation
13.
Find the probability of mutually exclusive events
14.
Find the probability of compound events
15.
Use the intersection of two sets to find the probability of an event
16.
Use complements to find the probability of an event
17.
Use complements in realistic situations
18.
Find the probability of two or three independent events
19.
Compare dependent and independent events
20.
Find the probability of dependent even
21.
Use a tree diagram to find conditional probabilities
22.
Identify probability experiments that are binomial experiments
23.
Find the binomial probability of an event
24.
Construct a histogram, given a binomial distribution
25.
Given a normal distribution, calculate the probability that an event will occur
26.
Use a normal distribution to solve a realistic situation
27.
Interpret the histogram of a binomial distribution
PASS – GEOMETRY A
NPC – 2003
SCOPE OF COURSE
Geometry A consists of five units with fourteen lessons in each unit. Units in the first semester
of Geometry A begin with Foundations and end with Properties of Common Geometric
Shapes. Included with Geometry A is the Geometry handbook that explains terms, formulas,
and tables used in solving problems.
SEQUENCE OF SKILLS
UNIT 1 – Foundations
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
Introduction
Points, Lines, and Planes
Line Segments, Angles and Rays
Plane Geometry
Polygons
Solid Geometry
Sketches and Intersections of Planes with Solids
Ominoes
Nets of Cubes
Nets of Other Three Dimensional Figures
Visualizing Three Dimensional Objects
Perspective
Sketch Geometric Models
Proofs
UNIT 2 – Congruent Triangle Theorems and Constructions
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
Proofs
Side Angle-Side Theorem
Angle-Side-Angle Theorem
Isosceles Triangle Theorems
Converse of the Isosceles Triangle Theorem
Side-Side-Side Theorem
Introduction to Constructions
Triangle Constructions
Conditions that are or are not Sufficient to Prove Triangles Congruent
Perpendicular Bisector Theorem
More Constructions
Right Triangle Theorem I
Right Triangle Theorem II
Right triangle Constructions
Geometry A
Scope and Sequence
UNIT 3 – Parallel, Perpendicular, and Angle Theorems
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
Exterior Angles
Lines Perpendicular to the Same Line
Lines Perpendicular to Parallel Lines and Non-Euclidean Geometries
Transversals and Parallel Lines
Interior Angles and Corresponding Angle Theorems
The Sum of the Angles in a Triangle
Equal Segments Theorem
Points on the Bisector of an Angle
Angle Comparisons
Mid – Segments
The Median in a Right Triangle
A Triangle with Unequal Sides
A Triangle with Unequal Angles
Comparing Triangles
UNIT 4 – Perimeter, Area, and Volume
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
Perimeter
Area
Connection between Perimeter and Area
Area of a Parallelogram
Area of a Triangle
Area of a Trapezoid
Area of Regular Polygons
Surface Area of Prisms
Surface Area of Cylinders and Spheres
Surface Area of Pyramids and Cones
Volume of Prisms
Volume of a Pyramid
Volume of Cylinders, Cones, and Spheres
Effects of Changing Dimensions
Geometry A
Scope and Sequence
UNIT 5 – Properties of Common Geometric Shapes
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
Introduction
Hierarchy of Polygons and how this Relates to their Properties
Properties of Special Parallelograms
Sufficient Conditions for a Parallelogram - Part 1
Sufficient Conditions for a Parallelogram - Part 2
Parallelogram Constructions
Sufficient Conditions for Rectangles, Rhombi, and Squares
Isosceles Trapezoids
Constructing Trapezoids
Trigonometric Ratios
Right Triangle Applications and Properties of Special Right Triangles
Identities
Law of Cosines
Law of Sines
Geometry Handbook
1.
2.
3.
4.
5.
6.
7.
8.
9.
Axioms
Postulates
Propositions
Definitions
Formulas and Discoveries
The Greek Alphabet
Trigonometric Tables
Centimeter Dot Paper
Isometric Dot Paper
PASS – GEOMETRY B
NPC – 2004
SCOPE OF COURSE
Geometry B consists of five units with fourteen lessons in each unit. Units in this semester of
Geometry B begin with Circles and end with Motion Geometry. Included with Geometry B is
the Geometry handbook that explains terms, formulas, and tables used in solving problems.
SEQUENCE OF SKILLS
UNIT 1 – Circles
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
Circles - related definitions and postulates
Three point circles
Constructing a circle with three points
Chords and arcs
Diameters and other chords
Intersecting circles
Chords equidistant from the center
Unequal minor arcs
Unequal chords
Tangents and radii
Tangents from the same outside point
Tangent circles
Constructing tangents to a circle
Parallel lines and circles
UNIT 2 – Angles, Arcs, Concurrent Lines, Similarities and Proportions
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
Inscribed angles
Angles formed by a tangent and a chord
Angles formed by two intersecting chords
Angles formed by secants and tangents
Concurrent Lines I
Concurrent Lines II
Regular inscribed polygons
Regular circumscribed polygons
Ratio and proportion and parallel line proportionality
Proportionality and parallelism
Similar triangles
Bisectors of interior and exterior angles of triangles and proportionality
Right triangles and similarity
A circle and proportionality
Geometry B
Scope and Sequence
UNIT 3 – Logic
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
Statements and their opposites
Conjunctions
Disjunctions
Truth tables conditional statements
The converse of a statement
Biconditionals
The inverse of a statement
Contrapositives and logically equivalent statements
Identities
Tautologies, contradictions, and contingencies
Quantifiers
Valid arguments
Logic puzzles - single matching
Logic puzzles - complex matching
UNIT 4 – Coordinate Geometry
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
Analytic geometry
Using coordinates in proofs
Coordinate geometry- three dimensions
Three–dimensional distances, prisms, and pyramids
The locus problem
Locus of points in a plane
Intersection of loci
Coordinate geometry and the locus of first-degree equations
Coordinate geometry and the locus of circles
Locus and ellipse
Locus and a parabola
Locus and a hyperbola
Conic sections identified and shifted
Vectors
Geometry B
Scope and Sequence
UNIT 5 – Motion Geometry
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
Transformations
Translations 1
Translations 2
Reflections 1
Reflections 2
Rotations 1
Rotations 2
Combinations of transformations
Identifying transformations
Size transformations
Symmetry
Tessellations with polygons
Escher-like tessellations
Fractals and chaos
Geometry Handbook
1.
2.
3.
4.
5.
6.
7.
8.
9.
Axioms
Postulates
Propositions
Definitions
Formulas and Discoveries
The Greek Alphabet
Trigonometric Tables
Centimeter Dot Paper
Isometric Dot Paper
PASS - INTEGRATED MATH CONCEPTS
NPC – 2006
SEQUENCE OF SKILLS
Module 1 – Real Numbers


Learn to recognize and differentiate between natural numbers, whole numbers, integers,
rational numbers, irrational numbers, and real numbers
Relate the number line to the collection of real numbers
Module 2 – Sets



Recognize a well-defined set
Learn set notation and terminology
Study some subsets of real numbers – prime and composite numbers
Module 3 – Variables and Axioms

Learn
why, when, and how to use a variable
the definition of an axiom
some specific axioms
Module 4 – Properties of Real Numbers

Learn the characteristics and uses of the following properties of real numbers:
the commutative property
the associative property
the distributive property
identity elements
inverses
the multiplication property of zero
to understand why division by zero is not allowed
to introduce the uniqueness and existence properties
Integrating Math Concepts
Sequence of Skills
Module 5 – Fractions


Become comfortable with fractions by
understanding their make-up
comparing their sizes
Prepare for operations with algebraic fractions
by understanding the concepts behind the algorithms
by determining if solutions are reasonable
Module 6 – Decimals

Become comfortable with decimals and decimal operations
by understanding the relative size of decimals
by understanding why the algorithms or rules dealing with decimals
work
by testing answers for reasonableness
Module 7 – Order of Operations



Understand why problems need to be performed in a certain order
Evaluate numerical expressions using order of operations
Evaluate variable expressions for specific values
Module 8 – Equations




Translate algebraic expressions and equations, as well as consecutive
integer questions
Solve:
One-step equations
Two-step equations
Complex equations (combining like terms, use of the distributive property, variables on
both sides)
Multi-step equations
Translate algebraic inequalities
Solve and graph solutions to one and two-step inequalities
Integrating Math Concepts
Sequence of Skills
Module 9 – Geometry







Describe points, lines, and planes
Sketch and label points, lines, and planes
Use problem solving to explore points, lines, and planes
Define line segments, rays, and angles
Recognize and examine types of angles
Explore problems using angle properties
Explore line relationships
Module 10 – Properties of Polygons






Recognize and classify 2-dimensional shapes –
circles, triangles and quadrilaterals
Find 2-dimensional shapes in the environment
Explore the sum of the measures of the angles of triangles and quadrilaterals
Classify a polygon according to the number of its sides
Count diagonals in polygons
Find the measures of the interior and exterior angles in polygons
PASS – COLOR AND DESIGN
ORIGINAL
SCOPE OF COURSE
This is a study of the elements and principles of design which encourages an awareness in both
creating art products and in experiencing the visual qualities of nature.
SEQUENCE OF SKILLS
UNIT I – The Elements of Design: Line, Color and Value
1.
2.
3.
4.
Identify the function of line
Utilize line, color and value
Define line, color and value
Use primary and secondary colors
UNIT II – The Elements of Design: Space and Form, Space and Texture
1.
2.
3.
4.
Distinguish shape and form, space and texture
Relate facts regarding texture, form, shape and space
Identify shape and form, space and texture
List categories of shape and form, texture and space
UNIT III – The Principles of Design: Balance and Unity
1.
2.
Identify balance and unity
Use balance and unity
UNIT IV – The Principles of Design: Contrast and Emphasis
1.
2.
3.
4.
Observe contrast and unity
Use contrast and unity
List kinds of contrast
Recognize and name unifying elements
UNIT V – The Principles of Design: Pattern, Movement and Rhythm
1.
2.
3.
Identify pattern, movement and rhythm
Use pattern, movement and rhythm
Distinguish between patterns
PASS – YOUR HEALTH
NPC – 2003
SCOPE OF COURSE
This course offers a comprehensive approach to health, and provides high school students with
practical knowledge and application of health principles. The course was created with the teenage in
mind and encourages students to take a proactive, positive, and responsible approach to health and
life.
SEQUENCE OF SKILLS
UNIT 1 – How Are You Feeling?
1.
2.
3.
4.
5.
Introduction to health and definitions
The triangle of health
Body systems
Hygiene and good manners
Fitness, exercise, and nutrients
UNlT 2 – How Does Your Community Feel?
1.
2.
3.
4.
5.
6.
7.
Community and heath. Kinds of communities
A look at the Hispanic and teenage community
Communicable and non-communicable diseases
Vulnerable communities
Community programs that help
Community projects by different organizations
Advocating for legislation that favors health in our communities
UNlT 3 – What is Your Risk?
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
Safety and risks
Nutrition, physical activity, and personal attitude towards exercise
Health and legal consequences for teenage use of drugs, tobacco, and alcohol
Injuries and suicide
Abstinence, risks, sexual behaviors, and sexually transmitted diseases
Eating disorders and body image
Role and power of media, family, and friends
Personal safety and mental health
Preventive strategies
Home and family safety
Your Health
Scope and Sequence
UNIT 4 – How Is Your Emotional I.Q.?
1.
2.
3.
4.
5.
6.
7.
Emotional health
Building resilience, balance, and self control
Emotions and decision-making
Managing anger and stress
Conflict resolution and peace-making
Recognizing and preventing violence
Improving attitudes. Self-esteem and affirmations
UNIT 5 – What is Your Plan?
1.
2.
3.
4.
5.
6.
7.
Habits and responsibility
Prevention vs. cure
Self-care and setting your health goals
Health and your future employment. Health care benefits
Mental health and depression
Role models
Your life story and dreams
PASS – CREATIVE WRITING
NPC – 2003
SEQUENCE OF SKILLS
UNIT 1 – Fiction: Part I - Short Stories
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
The origins of language
A writer's definition of a story
The importance of premise
The story triangle
Irony and suspense
Character types
Points of view
Scene keys
Characterization
Dialogue
Writing your story
Revising, editing, and revision
UNlT 2 – Fiction: Part II - The Novel and Drama
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
Brainstorming
Description: using nouns and verbs effectively
Description: using adjectives and adverbs effectively
Descriptions: general tips
Useful punctuation for the creative writer
Planning your story
Writing a descriptive passage
Flashback and foreshadowing
Character development and characterization techniques
Style techniques
Staging and special format rules for playwriting
Writing a scene
Writing careers and goals/using a writer's rubric
Creative Writing
Sequence of Skills
UNlT 3 – Poetry
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
Types of poetry and reading tips
Voice and tone/tips for writing
Imagery and symbolism
Figurative language
The Star Scramble
Rhyme and rhyme schemes
Repetition, refrain, alliteration, and onomatopoeia
Rhyme devices and parody
Rhythm and meter
Blank verse and haiku
Free verse
The sonnet, elegy, and requiem
Narrative poetry and ballads
UNlT 4 – Nonfiction: Part I
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
Introduction to nonfiction
Persuasive writing
Expressive writing
Literary writing
Informative writing
Scientific writing
Exploratory writing
Descriptive writing
Observation and experience
Revision and editing
Autobiographical essay
Final revision and editing
Creative Writing
Sequence of Skills
UNIT 5 – Nonfiction: Part II
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
Creative reporting
Report analysis
Cause and effect analysis
Argument analysis
Opinion and claims
Critical review
Crusading evaluations
Position papers
Credibility, preliminary research and refining the subject
Thesis statements and presenting findings
Research and sources
The first draft
Revision and editing
.
PASS
COURSES
REQUIRING
SUPPLEMENTAL
BOOKS
Portable Assisted Study Sequence
WISCONSIN PASS / MINI PASS PROGRAM
PASS COURSES REQUIRING SUPPLEMENTAL BOOKS
Creative Writing
Roget’s Thesaurus – Harper Collins Publishing
Color and Design – Art
Exploring Visual Design – Davis Publishing Inc. (copyright 2000)
English IA
The Diary of Anne Frank – Frances Goodrich & Albert Hackett
The Old Man and the Sea – Ernest Hemingway
English IB
A Raisin in the Sun – Lorraine Hansberry
The House on Mango Street – Sandra Cisneros
English IIA
The Miracle Worker – William Gibson
The Pearl – John Steinbeck
English IIB
Antigone – by Sophocles
The Good Earth – Pearl Buck
English IIIA
Our Town – by Thornton Wilder
To Kill a Mockingbird – by Harper Lee
English IIIB
Death of a Salesman – by Arthur Miller
The Adventures of Huckleberry Finn – by Mark Twain
English IVA
Macbeth – William Shakespeare
Animal Farm – George Orwell
English IVB
Pygmalion – George Bernard Shaw
Lord of the Flies – William Golding
Ethnic Studies
Music Tape
Learning English Through Literature
Seedfolks – Harper Trophy
Study Skills
CD – The Dust Bowl
Themes in Literature A
Handbook of Letter Writing
Themes in Literature B
A Bintel Brief – Schocken Books
Farewell to Manzanar – Bantam Books
The Light in the Forest – Bantam Books
U.S. History A
The United State Since 1876: One Nation Many People, Vol. 2 – Globe Fearon
The Nystrom Atlas of United States History – Nystrom Division of Herff Jones,
Inc.
U.S. History B
The United State Since 1876: One Nation Many People, Vol. 2 – Globe Fearon
The Nystrom Atlas of United States History – Nystrom Division of Herff Jones,
Inc.
PASS
ORDER
FORMS
CESA 8
223 West Park Street
Gillett, WI 54124
PASS Price List and Order Form
Course Title
*Study Skills
*Learning English
Through Literature
*English IA
*English IB
*English IIA
*English IIB
*English IIIA
*English IIIB
*English IVA
*English IVB
Themes in Literature A
Themes in Literature B
General Science A
General Science B
*Environmental Science A
*Environmental Science B
*Biology A
*Biology B
*U.S. History A
*U.S. History B
*+U. S. Government
Ethnic Studies
*World Geography A
*World Geography B
Consumer Education
*World History A
*World History B
*Economics
Consumer Math
*+Personal Finance
Student
Teacher
Student
Teacher
$ 70.00
$30.00
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75.00
80.00
75.00
75.00
75.00
85.00
75.00
75.00
77.00
70.00
85.00
70.00
68.00
60.00
65.00
70.00
70.00
95.00
95.00
65.00
70.00
65.00
65.00
65.00
70.00
70.00
65.00
65.00
65.00
30.00
30.00
30.00
30.00
30.00
30.00
30.00
30.00
30.00
30.00
30.00
30.00
30.00
30.00
30.00
30.00
30.00
30.00
30.00
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30.00
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Price List
Course Title
Student
General Math A
General Math B
Pre-Algebra/
Calculator Math
*+Algebra IA
*+Algebra IB
*Algebra IIA
*Algebra IIB
*Geometry A
*Geometry B
*+Integrating Math
Concepts
Color and Design
*+Your Health
*Creative Writing
*+Career Connections
Teacher
Student
Teacher
65.00
65.00
30.00
30.00
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65.00
80.00
75.00
80.00
85.00
85.00
85.00
30.00
30.00
30.00
30.00
30.00
30.00
30.00
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65.00**
95.00
75.00
75.00
65.00
5.00***
30.00
30.00
30.00
30.00
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Replacement – Student Activity Book and Test – are available call for prices
Order from – CESA 8 – PASS Department
223 West Park Street - P.O. Box 320
Gillett, WI 54124
Phone Orders are Acceptable (920) 855-2114 or 800-831-6391 ext. 261
FAX Number (920) 855-2299
* Courses revised since 1999
** Course has 10 units
*** Answers for tests only
+ Courses available in Spanish cost is $125.00 per course
For more information about PASS and Mini PASS go to www.cesa8.k12.wi.us click on
PASS or go to www.wipass.org